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1,054,872

1,054,872 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,054,872 (one million fifty-four thousand eight hundred seventy-two) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2³ × 3² × 7² × 13 × 23. Its proper divisors sum to 2,679,768, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101898.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
2,784,501
Square (n²)
1,112,754,936,384
Cube (n³)
1,173,814,025,253,262,848
Divisor count
144
σ(n) — sum of divisors
3,734,640
φ(n) — Euler's totient
266,112
Sum of prime factors
62

Primality

Prime factorization: 2 3 × 3 2 × 7 2 × 13 × 23

Nearest primes: 1,054,853 (−19) · 1,054,903 (+31)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 13 · 14 · 18 · 21 · 23 · 24 · 26 · 28 · 36 · 39 · 42 · 46 · 49 · 52 · 56 · 63 · 69 · 72 · 78 · 84 · 91 · 92 · 98 · 104 · 117 · 126 · 138 · 147 · 156 · 161 · 168 · 182 · 184 · 196 · 207 · 234 · 252 · 273 · 276 · 294 · 299 · 312 · 322 · 364 · 392 · 414 · 441 · 468 · 483 · 504 · 546 · 552 · 588 · 598 · 637 · 644 · 728 · 819 · 828 · 882 · 897 · 936 · 966 · 1092 · 1127 · 1176 · 1196 · 1274 · 1288 · 1449 · 1638 · 1656 · 1764 · 1794 · 1911 · 1932 · 2093 · 2184 · 2254 · 2392 · 2548 · 2691 · 2898 · 3276 · 3381 · 3528 · 3588 · 3822 · 3864 · 4186 · 4508 · 5096 · 5382 · 5733 · 5796 · 6279 · 6552 · 6762 · 7176 · 7644 · 8372 · 9016 · 10143 · 10764 · 11466 · 11592 · 12558 · 13524 · 14651 · 15288 · 16744 · 18837 · 20286 · 21528 · 22932 · 25116 · 27048 · 29302 · 37674 · 40572 · 43953 · 45864 · 50232 · 58604 · 75348 · 81144 · 87906 · 117208 · 131859 · 150696 · 175812 · 263718 · 351624 · 527436 (half) · 1054872
Aliquot sum (sum of proper divisors): 2,679,768
Factor pairs (a × b = 1,054,872)
1 × 1054872
2 × 527436
3 × 351624
4 × 263718
6 × 175812
7 × 150696
8 × 131859
9 × 117208
12 × 87906
13 × 81144
14 × 75348
18 × 58604
21 × 50232
23 × 45864
24 × 43953
26 × 40572
28 × 37674
36 × 29302
39 × 27048
42 × 25116
46 × 22932
49 × 21528
52 × 20286
56 × 18837
63 × 16744
69 × 15288
72 × 14651
78 × 13524
84 × 12558
91 × 11592
92 × 11466
98 × 10764
104 × 10143
117 × 9016
126 × 8372
138 × 7644
147 × 7176
156 × 6762
161 × 6552
168 × 6279
182 × 5796
184 × 5733
196 × 5382
207 × 5096
234 × 4508
252 × 4186
273 × 3864
276 × 3822
294 × 3588
299 × 3528
312 × 3381
322 × 3276
364 × 2898
392 × 2691
414 × 2548
441 × 2392
468 × 2254
483 × 2184
504 × 2093
546 × 1932
552 × 1911
588 × 1794
598 × 1764
637 × 1656
644 × 1638
728 × 1449
819 × 1288
828 × 1274
882 × 1196
897 × 1176
936 × 1127
966 × 1092
First multiples
1,054,872 · 2,109,744 (double) · 3,164,616 · 4,219,488 · 5,274,360 · 6,329,232 · 7,384,104 · 8,438,976 · 9,493,848 · 10,548,720

Sums & aliquot sequence

As a sum of two cubes: 38³ + 100³
As consecutive integers: 351,623 + 351,624 + 351,625 150,693 + 150,694 + … + 150,699 117,204 + 117,205 + … + 117,212 81,138 + 81,139 + … + 81,150
Aliquot sequence: 1,054,872 → 2,679,768 → 6,274,632 → 14,288,568 → 28,945,992 → 43,594,008 → 65,857,752 → 117,081,048 → 228,242,472 → 342,363,768 → 521,404,632 → 1,100,446,248 → 1,912,909,272 → 2,869,363,968 → 5,067,504,384 → 8,419,449,432 → 12,758,316,648 — keeps growing

Continued fraction of √n

√1,054,872 = [1027; (14, 2, 1, 2, 1, 16, 4, 41, 1, 2, 13, 5, 1, 1, 1, 1, 2, 24, 1, 40, 1, 24, 2, 1, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one million fifty-four thousand eight hundred seventy-two
Ordinal
1054872nd
Binary
100000001100010011000
Octal
4014230
Hexadecimal
0x101898
Base64
EBiY
One's complement
4,293,912,423 (32-bit)
Scientific notation
1.054872 × 10⁶
As a duration
1,054,872 s = 12 days, 5 hours, 1 minute, 12 seconds
In other bases
ternary (3) 1222121000100
quaternary (4) 10001202120
quinary (5) 232223442
senary (6) 34335400
septenary (7) 11652300
nonary (9) 1877010
undecimal (11) 6605a5
duodecimal (12) 42a560
tridecimal (13) 2ac1b0
tetradecimal (14) 1d6600
pentadecimal (15) 15c84c

As an angle

1,054,872° = 2,930 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬四千八百七十二
Chinese (financial)
壹佰零伍萬肆仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٥٤٨٧٢ Devanagari १०५४८७२ Bengali ১০৫৪৮৭২ Tamil ௧௦௫௪௮௭௨ Thai ๑๐๕๔๘๗๒ Tibetan ༡༠༥༤༨༧༢ Khmer ១០៥៤៨៧២ Lao ໑໐໕໔໘໗໒ Burmese ၁၀၅၄၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1054872, here are decompositions:

  • 19 + 1054853 = 1054872
  • 29 + 1054843 = 1054872
  • 41 + 1054831 = 1054872
  • 53 + 1054819 = 1054872
  • 59 + 1054813 = 1054872
  • 103 + 1054769 = 1054872
  • 139 + 1054733 = 1054872
  • 149 + 1054723 = 1054872

Showing the first eight; more decompositions exist.

Hex color
#101898
RGB(16, 24, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.24.152.

Address
0.16.24.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.24.152

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 4872 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4872-05-01 (DMMYYYY (Euro, single-digit day))
  • 4872-10-05 (MMDYYYY (US, single-digit day))
  • 4872-05-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,054,872 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 1054872 first appears in π at position 40,557 of the decimal expansion (the 40,557ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.