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1,048,872

1,048,872 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.).

1,048,872 (one million forty-eight thousand eight hundred seventy-two) is an even 7-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 11 × 29 × 137. Its proper divisors sum to 1,931,928, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100128.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
30
Digit product
0
Digital root
3
Palindrome
No
Bit width
21 bits
Reversed
2,788,401
Square (n²)
1,100,132,472,384
Cube (n³)
1,153,898,146,574,350,848
Divisor count
64
σ(n) — sum of divisors
2,980,800
φ(n) — Euler's totient
304,640
Sum of prime factors
186

Primality

Prime factorization: 2 3 × 3 × 11 × 29 × 137

Nearest primes: 1,048,867 (−5) · 1,048,877 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 29 · 33 · 44 · 58 · 66 · 87 · 88 · 116 · 132 · 137 · 174 · 232 · 264 · 274 · 319 · 348 · 411 · 548 · 638 · 696 · 822 · 957 · 1096 · 1276 · 1507 · 1644 · 1914 · 2552 · 3014 · 3288 · 3828 · 3973 · 4521 · 6028 · 7656 · 7946 · 9042 · 11919 · 12056 · 15892 · 18084 · 23838 · 31784 · 36168 · 43703 · 47676 · 87406 · 95352 · 131109 · 174812 · 262218 · 349624 · 524436 (half) · 1048872
Aliquot sum (sum of proper divisors): 1,931,928
Factor pairs (a × b = 1,048,872)
1 × 1048872
2 × 524436
3 × 349624
4 × 262218
6 × 174812
8 × 131109
11 × 95352
12 × 87406
22 × 47676
24 × 43703
29 × 36168
33 × 31784
44 × 23838
58 × 18084
66 × 15892
87 × 12056
88 × 11919
116 × 9042
132 × 7946
137 × 7656
174 × 6028
232 × 4521
264 × 3973
274 × 3828
319 × 3288
348 × 3014
411 × 2552
548 × 1914
638 × 1644
696 × 1507
822 × 1276
957 × 1096
First multiples
1,048,872 · 2,097,744 (double) · 3,146,616 · 4,195,488 · 5,244,360 · 6,293,232 · 7,342,104 · 8,390,976 · 9,439,848 · 10,488,720

Sums & aliquot sequence

As consecutive integers: 349,623 + 349,624 + 349,625 95,347 + 95,348 + … + 95,357 65,547 + 65,548 + … + 65,562 36,154 + 36,155 + … + 36,182
Aliquot sequence: 1,048,872 1,931,928 2,951,832 4,996,248 7,574,952 16,041,048 24,722,712 55,110,888 128,748,312 317,190,888 667,069,272 1,146,061,008 2,165,532,592 2,031,660,824 1,886,259,256 2,340,820,424 2,048,217,886 — unresolved within range

Continued fraction of √n

√1,048,872 = [1024; (6, 1, 11, 2, 2, 4, 1, 1, 3, 6, 3, 1, 4, 3, 1, 1, 1, 22, 1, 1, 1, 3, 4, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one million forty-eight thousand eight hundred seventy-two
Ordinal
1048872nd
Binary
100000000000100101000
Octal
4000450
Hexadecimal
0x100128
Base64
EAEo
One's complement
4,293,918,423 (32-bit)
Scientific notation
1.048872 × 10⁶
As a duration
1,048,872 s = 12 days, 3 hours, 21 minutes, 12 seconds
In other bases
ternary (3) 1222021210010
quaternary (4) 10000010220
quinary (5) 232030442
senary (6) 34251520
septenary (7) 11625636
nonary (9) 1867703
undecimal (11) 657040
duodecimal (12) 426ba0
tridecimal (13) 2a9546
tetradecimal (14) 1d4356
pentadecimal (15) 15ab9c

As an angle

1,048,872° = 2,913 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零四萬八千八百七十二
Chinese (financial)
壹佰零肆萬捌仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٤٨٨٧٢ Devanagari १०४८८७२ Bengali ১০৪৮৮৭২ Tamil ௧௦௪௮௮௭௨ Thai ๑๐๔๘๘๗๒ Tibetan ༡༠༤༨༨༧༢ Khmer ១០៤៨៨៧២ Lao ໑໐໔໘໘໗໒ Burmese ၁၀၄၈၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048872, here are decompositions:

  • 5 + 1048867 = 1048872
  • 43 + 1048829 = 1048872
  • 73 + 1048799 = 1048872
  • 79 + 1048793 = 1048872
  • 89 + 1048783 = 1048872
  • 113 + 1048759 = 1048872
  • 151 + 1048721 = 1048872
  • 163 + 1048709 = 1048872

Showing the first eight; more decompositions exist.

Hex color
#100128
RGB(16, 1, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.1.40.

Address
0.16.1.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.1.40

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 4, 8872 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8872-04-01 (DMMYYYY (Euro, single-digit day))
  • 8872-10-04 (MMDYYYY (US, single-digit day))
  • 8872-04-10 (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 1,048,872 and was likely granted around 1912.

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

Related reading

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