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100,832

100,832 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.).
Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
238,001
Recamán's sequence
a(255,052) = 100,832
Square (n²)
10,167,092,224
Cube (n³)
1,025,168,243,130,368
Divisor count
24
σ(n) — sum of divisors
208,656
φ(n) — Euler's totient
47,872
Sum of prime factors
170

Primality

Prime factorization: 2 5 × 23 × 137

Nearest primes: 100,829 (−3) · 100,847 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 23 · 32 · 46 · 92 · 137 · 184 · 274 · 368 · 548 · 736 · 1096 · 2192 · 3151 · 4384 · 6302 · 12604 · 25208 · 50416 (half) · 100832
Aliquot sum (sum of proper divisors): 107,824
Factor pairs (a × b = 100,832)
1 × 100832
2 × 50416
4 × 25208
8 × 12604
16 × 6302
23 × 4384
32 × 3151
46 × 2192
92 × 1096
137 × 736
184 × 548
274 × 368
First multiples
100,832 · 201,664 (double) · 302,496 · 403,328 · 504,160 · 604,992 · 705,824 · 806,656 · 907,488 · 1,008,320

Sums & aliquot sequence

As consecutive integers: 4,373 + 4,374 + … + 4,395 1,544 + 1,545 + … + 1,607 668 + 669 + … + 804
Aliquot sequence: 100,832 107,824 110,912 109,306 68,102 40,114 22,094 11,050 12,386 7,918 4,394 2,746 1,376 1,396 1,054 674 340 — unresolved within range

Continued fraction of √n

√100,832 = [317; (1, 1, 5, 1, 1, 1, 90, 12, 1, 18, 1, 12, 90, 1, 1, 1, 5, 1, 1, 634)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand eight hundred thirty-two
Ordinal
100832nd
Binary
11000100111100000
Octal
304740
Hexadecimal
0x189E0
Base64
AYng
One's complement
4,294,866,463 (32-bit)
Scientific notation
1.00832 × 10⁵
In other bases
ternary (3) 12010022112
quaternary (4) 120213200
quinary (5) 11211312
senary (6) 2054452
septenary (7) 566654
nonary (9) 163275
undecimal (11) 69836
duodecimal (12) 4a428
tridecimal (13) 36b84
tetradecimal (14) 28a64
pentadecimal (15) 1ed22

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρωλβʹ
Mayan (base 20)
𝋬·𝋬·𝋡·𝋬
Chinese
一十萬零八百三十二
Chinese (financial)
壹拾萬零捌佰參拾貳
In other modern scripts
Eastern Arabic ١٠٠٨٣٢ Devanagari १००८३२ Bengali ১০০৮৩২ Tamil ௧௦௦௮௩௨ Thai ๑๐๐๘๓๒ Tibetan ༡༠༠༨༣༢ Khmer ១០០៨៣២ Lao ໑໐໐໘໓໒ Burmese ၁၀၀၈၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100832, here are decompositions:

  • 3 + 100829 = 100832
  • 31 + 100801 = 100832
  • 139 + 100693 = 100832
  • 163 + 100669 = 100832
  • 211 + 100621 = 100832
  • 223 + 100609 = 100832
  • 241 + 100591 = 100832
  • 283 + 100549 = 100832

Showing the first eight; more decompositions exist.

Unicode codepoint
𘧠
Tangut Component-481
U+189E0
Other letter (Lo)

UTF-8 encoding: F0 98 A7 A0 (4 bytes).

Hex color
#0189E0
RGB(1, 137, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.224.

Address
0.1.137.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.224

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 100,832 and was likely granted around 1870.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000100832
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 100832 first appears in π at position 235,949 of the decimal expansion (the 235,949ordinal-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.