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559,872

559,872 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.).

559,872 (five hundred fifty-nine thousand eight hundred seventy-two) is an even 6-digit number. It is a composite number with 72 divisors, and factors as 2⁸ × 3⁷. Its proper divisors sum to 1,116,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x88B00.

Abundant Number Achilles Number Frugal Number Harshad / Niven Odious Number Pernicious Number Powerful Number Practical Number Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
36
Digit product
25,200
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
278,955
Square (n²)
313,456,656,384
Cube (n³)
175,495,605,123,022,848
Divisor count
72
σ(n) — sum of divisors
1,676,080
φ(n) — Euler's totient
186,624
Sum of prime factors
37

Primality

Prime factorization: 2 8 × 3 7

Nearest primes: 559,859 (−13) · 559,877 (+5)

Divisors & multiples

All divisors (72)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 81 · 96 · 108 · 128 · 144 · 162 · 192 · 216 · 243 · 256 · 288 · 324 · 384 · 432 · 486 · 576 · 648 · 729 · 768 · 864 · 972 · 1152 · 1296 · 1458 · 1728 · 1944 · 2187 · 2304 · 2592 · 2916 · 3456 · 3888 · 4374 · 5184 · 5832 · 6912 · 7776 · 8748 · 10368 · 11664 · 15552 · 17496 · 20736 · 23328 · 31104 · 34992 · 46656 · 62208 · 69984 · 93312 · 139968 · 186624 · 279936 (half) · 559872
Aliquot sum (sum of proper divisors): 1,116,208
Factor pairs (a × b = 559,872)
1 × 559872
2 × 279936
3 × 186624
4 × 139968
6 × 93312
8 × 69984
9 × 62208
12 × 46656
16 × 34992
18 × 31104
24 × 23328
27 × 20736
32 × 17496
36 × 15552
48 × 11664
54 × 10368
64 × 8748
72 × 7776
81 × 6912
96 × 5832
108 × 5184
128 × 4374
144 × 3888
162 × 3456
192 × 2916
216 × 2592
243 × 2304
256 × 2187
288 × 1944
324 × 1728
384 × 1458
432 × 1296
486 × 1152
576 × 972
648 × 864
729 × 768
First multiples
559,872 · 1,119,744 (double) · 1,679,616 · 2,239,488 · 2,799,360 · 3,359,232 · 3,919,104 · 4,478,976 · 5,038,848 · 5,598,720

Sums & aliquot sequence

As consecutive integers: 186,623 + 186,624 + 186,625 62,204 + 62,205 + … + 62,212 20,723 + 20,724 + … + 20,749 6,872 + 6,873 + … + 6,952
Aliquot sequence: 559,872 1,116,208 1,046,476 784,864 760,400 1,067,422 533,714 280,606 143,258 74,470 71,978 47,902 25,754 13,606 6,806 3,778 1,892 — unresolved within range

Continued fraction of √n

√559,872 = [748; (4, 15, 5, 1, 1, 1, 1, 1, 31, 4, 1, 1, 2, 2, 1, 2, 1, 1, 3, 10, 8, 1, 6, 2, …)]

Representations

In words
five hundred fifty-nine thousand eight hundred seventy-two
Ordinal
559872nd
Binary
10001000101100000000
Octal
2105400
Hexadecimal
0x88B00
Base64
CIsA
One's complement
4,294,407,423 (32-bit)
Scientific notation
5.59872 × 10⁵
As a duration
559,872 s = 6 days, 11 hours, 31 minutes, 12 seconds
In other bases
ternary (3) 1001110000000
quaternary (4) 2020230000
quinary (5) 120403442
senary (6) 20000000
septenary (7) 4521165
nonary (9) 1043000
undecimal (11) 352705
duodecimal (12) 230000
tridecimal (13) 167ab1
tetradecimal (14) 10806c
pentadecimal (15) b0d4c

As an angle

559,872° = 1,555 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵φνθωοβʹ
Chinese
五十五萬九千八百七十二
Chinese (financial)
伍拾伍萬玖仟捌佰柒拾貳
In other modern scripts
Eastern Arabic ٥٥٩٨٧٢ Devanagari ५५९८७२ Bengali ৫৫৯৮৭২ Tamil ௫௫௯௮௭௨ Thai ๕๕๙๘๗๒ Tibetan ༥༥༩༨༧༢ Khmer ៥៥៩៨៧២ Lao ໕໕໙໘໗໒ Burmese ၅၅၉၈၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 559872, here are decompositions:

  • 13 + 559859 = 559872
  • 23 + 559849 = 559872
  • 31 + 559841 = 559872
  • 41 + 559831 = 559872
  • 59 + 559813 = 559872
  • 73 + 559799 = 559872
  • 163 + 559709 = 559872
  • 193 + 559679 = 559872

Showing the first eight; more decompositions exist.

Hex color
#088B00
RGB(8, 139, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.8.139.0.

Address
0.8.139.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.8.139.0

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

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 559,872 and was likely granted around 1895.

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

Position in π

The digit sequence 559872 first appears in π at position 753,995 of the decimal expansion (the 753,995ordinal-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°.