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100,528

100,528 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.).
Deficient Number Evil Number Happy Number Harshad / Niven Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
825,001
Recamán's sequence
a(99,035) = 100,528
Square (n²)
10,105,878,784
Cube (n³)
1,015,923,782,397,952
Divisor count
20
σ(n) — sum of divisors
199,888
φ(n) — Euler's totient
48,960
Sum of prime factors
172

Primality

Prime factorization: 2 4 × 61 × 103

Nearest primes: 100,523 (−5) · 100,537 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 61 · 103 · 122 · 206 · 244 · 412 · 488 · 824 · 976 · 1648 · 6283 · 12566 · 25132 · 50264 (half) · 100528
Aliquot sum (sum of proper divisors): 99,360
Factor pairs (a × b = 100,528)
1 × 100528
2 × 50264
4 × 25132
8 × 12566
16 × 6283
61 × 1648
103 × 976
122 × 824
206 × 488
244 × 412
First multiples
100,528 · 201,056 (double) · 301,584 · 402,112 · 502,640 · 603,168 · 703,696 · 804,224 · 904,752 · 1,005,280

Sums & aliquot sequence

As consecutive integers: 3,126 + 3,127 + … + 3,157 1,618 + 1,619 + … + 1,678 925 + 926 + … + 1,027
Aliquot sequence: 100,528 99,360 263,520 673,920 1,917,900 4,096,472 3,584,428 2,688,328 2,352,302 1,329,634 672,506 336,256 361,424 454,930 504,686 462,994 330,734 — unresolved within range

Continued fraction of √n

√100,528 = [317; (16, 3, 1, 7, 13, 2, 1, 3, 12, 1, 15, 2, 1, 69, 1, 3, 1, 1, 1, 3, 1, 69, 1, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand five hundred twenty-eight
Ordinal
100528th
Binary
11000100010110000
Octal
304260
Hexadecimal
0x188B0
Base64
AYiw
One's complement
4,294,866,767 (32-bit)
Scientific notation
1.00528 × 10⁵
In other bases
ternary (3) 12002220021
quaternary (4) 120202300
quinary (5) 11204103
senary (6) 2053224
septenary (7) 566041
nonary (9) 162807
undecimal (11) 6958a
duodecimal (12) 4a214
tridecimal (13) 369ac
tetradecimal (14) 288c8
pentadecimal (15) 1ebbd
Palindromic in base 3

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρφκηʹ
Mayan (base 20)
𝋬·𝋫·𝋦·𝋨
Chinese
一十萬零五百二十八
Chinese (financial)
壹拾萬零伍佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٠٥٢٨ Devanagari १००५२८ Bengali ১০০৫২৮ Tamil ௧௦௦௫௨௮ Thai ๑๐๐๕๒๘ Tibetan ༡༠༠༥༢༨ Khmer ១០០៥២៨ Lao ໑໐໐໕໒໘ Burmese ၁၀၀၅၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100528, here are decompositions:

  • 5 + 100523 = 100528
  • 11 + 100517 = 100528
  • 17 + 100511 = 100528
  • 59 + 100469 = 100528
  • 137 + 100391 = 100528
  • 149 + 100379 = 100528
  • 167 + 100361 = 100528
  • 257 + 100271 = 100528

Showing the first eight; more decompositions exist.

Unicode codepoint
𘢰
Tangut Component-177
U+188B0
Other letter (Lo)

UTF-8 encoding: F0 98 A2 B0 (4 bytes).

Hex color
#0188B0
RGB(1, 136, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.136.176.

Address
0.1.136.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.136.176

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 100,528 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
000100528
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 100528 first appears in π at position 302,477 of the decimal expansion (the 302,477ordinal-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.