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1,027,872

1,027,872 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.).

1,027,872 (one million twenty-seven thousand eight hundred seventy-two) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 3² × 43 × 83. Its proper divisors sum to 1,999,152, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFAF20.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
2,787,201
Square (n²)
1,056,520,848,384
Cube (n³)
1,085,968,197,470,158,848
Divisor count
72
σ(n) — sum of divisors
3,027,024
φ(n) — Euler's totient
330,624
Sum of prime factors
142

Primality

Prime factorization: 2 5 × 3 2 × 43 × 83

Nearest primes: 1,027,853 (−19) · 1,027,883 (+11)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 43 · 48 · 72 · 83 · 86 · 96 · 129 · 144 · 166 · 172 · 249 · 258 · 288 · 332 · 344 · 387 · 498 · 516 · 664 · 688 · 747 · 774 · 996 · 1032 · 1328 · 1376 · 1494 · 1548 · 1992 · 2064 · 2656 · 2988 · 3096 · 3569 · 3984 · 4128 · 5976 · 6192 · 7138 · 7968 · 10707 · 11952 · 12384 · 14276 · 21414 · 23904 · 28552 · 32121 · 42828 · 57104 · 64242 · 85656 · 114208 · 128484 · 171312 · 256968 · 342624 · 513936 (half) · 1027872
Aliquot sum (sum of proper divisors): 1,999,152
Factor pairs (a × b = 1,027,872)
1 × 1027872
2 × 513936
3 × 342624
4 × 256968
6 × 171312
8 × 128484
9 × 114208
12 × 85656
16 × 64242
18 × 57104
24 × 42828
32 × 32121
36 × 28552
43 × 23904
48 × 21414
72 × 14276
83 × 12384
86 × 11952
96 × 10707
129 × 7968
144 × 7138
166 × 6192
172 × 5976
249 × 4128
258 × 3984
288 × 3569
332 × 3096
344 × 2988
387 × 2656
498 × 2064
516 × 1992
664 × 1548
688 × 1494
747 × 1376
774 × 1328
996 × 1032
First multiples
1,027,872 · 2,055,744 (double) · 3,083,616 · 4,111,488 · 5,139,360 · 6,167,232 · 7,195,104 · 8,222,976 · 9,250,848 · 10,278,720

Sums & aliquot sequence

As consecutive integers: 342,623 + 342,624 + 342,625 114,204 + 114,205 + … + 114,212 23,883 + 23,884 + … + 23,925 16,029 + 16,030 + … + 16,092
Aliquot sequence: 1,027,872 1,999,152 3,596,100 6,809,484 10,770,036 15,683,244 20,981,076 29,890,668 39,854,252 29,890,696 33,227,384 36,173,416 39,426,584 37,413,256 32,736,614 17,566,114 8,783,060 — unresolved within range

Continued fraction of √n

√1,027,872 = [1013; (1, 5, 3, 1, 6, 2, 1, 1, 1, 2, 1, 2, 5, 2, 2, 3, 1, 2, 7, 2, 1, 6, 2, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one million twenty-seven thousand eight hundred seventy-two
Ordinal
1027872nd
Binary
11111010111100100000
Octal
3727440
Hexadecimal
0xFAF20
Base64
D68g
One's complement
4,293,939,423 (32-bit)
Scientific notation
1.027872 × 10⁶
As a duration
1,027,872 s = 11 days, 21 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 1221012222100
quaternary (4) 3322330200
quinary (5) 230342442
senary (6) 34010400
septenary (7) 11510466
nonary (9) 1835870
undecimal (11) 64228a
duodecimal (12) 416a00
tridecimal (13) 29cb11
tetradecimal (14) 1ca836
pentadecimal (15) 15484c

As an angle

1,027,872° = 2,855 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零二萬七千八百七十二
Chinese (financial)
壹佰零貳萬柒仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٢٧٨٧٢ Devanagari १०२७८७२ Bengali ১০২৭৮৭২ Tamil ௧௦௨௭௮௭௨ Thai ๑๐๒๗๘๗๒ Tibetan ༡༠༢༧༨༧༢ Khmer ១០២៧៨៧២ Lao ໑໐໒໗໘໗໒ Burmese ၁၀၂၇၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1027872, here are decompositions:

  • 19 + 1027853 = 1027872
  • 31 + 1027841 = 1027872
  • 73 + 1027799 = 1027872
  • 89 + 1027783 = 1027872
  • 113 + 1027759 = 1027872
  • 179 + 1027693 = 1027872
  • 193 + 1027679 = 1027872
  • 229 + 1027643 = 1027872

Showing the first eight; more decompositions exist.

Hex color
#0FAF20
RGB(15, 175, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.175.32.

Address
0.15.175.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.175.32

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 2, 7872 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 7872-02-01 (DMMYYYY (Euro, single-digit day))
  • 7872-10-02 (MMDYYYY (US, single-digit day))
  • 7872-02-10 (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 1,027,872 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°.