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100,564

100,564 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 Odious Number Pernicious Number 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
465,001
Recamán's sequence
a(98,963) = 100,564
Square (n²)
10,113,118,096
Cube (n³)
1,017,015,608,206,144
Divisor count
12
σ(n) — sum of divisors
181,888
φ(n) — Euler's totient
48,600
Sum of prime factors
846

Primality

Prime factorization: 2 2 × 31 × 811

Nearest primes: 100,559 (−5) · 100,591 (+27)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 31 · 62 · 124 · 811 · 1622 · 3244 · 25141 · 50282 (half) · 100564
Aliquot sum (sum of proper divisors): 81,324
Factor pairs (a × b = 100,564)
1 × 100564
2 × 50282
4 × 25141
31 × 3244
62 × 1622
124 × 811
First multiples
100,564 · 201,128 (double) · 301,692 · 402,256 · 502,820 · 603,384 · 703,948 · 804,512 · 905,076 · 1,005,640

Sums & aliquot sequence

As consecutive integers: 12,567 + 12,568 + … + 12,574 3,229 + 3,230 + … + 3,259 282 + 283 + … + 529
Aliquot sequence: 100,564 81,324 132,120 298,440 672,660 1,443,636 2,299,404 3,128,676 4,171,596 8,095,260 14,571,636 20,412,012 30,115,220 33,126,784 32,868,236 24,893,524 19,014,060 — unresolved within range

Continued fraction of √n

√100,564 = [317; (8, 2, 5, 22, 2, 7, 2, 3, 1, 1, 2, 12, 1, 1, 4, 5, 1, 1, 2, 15, 13, 6, 1, 2, …)]

Representations

In words
one hundred thousand five hundred sixty-four
Ordinal
100564th
Binary
11000100011010100
Octal
304324
Hexadecimal
0x188D4
Base64
AYjU
One's complement
4,294,866,731 (32-bit)
Scientific notation
1.00564 × 10⁵
In other bases
ternary (3) 12002221121
quaternary (4) 120203110
quinary (5) 11204224
senary (6) 2053324
septenary (7) 566122
nonary (9) 162847
undecimal (11) 69612
duodecimal (12) 4a244
tridecimal (13) 36a09
tetradecimal (14) 28912
pentadecimal (15) 1ebe4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρφξδʹ
Mayan (base 20)
𝋬·𝋫·𝋨·𝋤
Chinese
一十萬零五百六十四
Chinese (financial)
壹拾萬零伍佰陸拾肆
In other modern scripts
Eastern Arabic ١٠٠٥٦٤ Devanagari १००५६४ Bengali ১০০৫৬৪ Tamil ௧௦௦௫௬௪ Thai ๑๐๐๕๖๔ Tibetan ༡༠༠༥༦༤ Khmer ១០០៥៦៤ Lao ໑໐໐໕໖໔ Burmese ၁၀၀၅၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100564, here are decompositions:

  • 5 + 100559 = 100564
  • 17 + 100547 = 100564
  • 41 + 100523 = 100564
  • 47 + 100517 = 100564
  • 53 + 100511 = 100564
  • 71 + 100493 = 100564
  • 173 + 100391 = 100564
  • 251 + 100313 = 100564

Showing the first eight; more decompositions exist.

Unicode codepoint
𘣔
Tangut Component-213
U+188D4
Other letter (Lo)

UTF-8 encoding: F0 98 A3 94 (4 bytes).

Hex color
#0188D4
RGB(1, 136, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.136.212.

Address
0.1.136.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.136.212

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 100,564 and was likely granted around 1870.

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

Position in π

The digit sequence 100564 first appears in π at position 766,778 of the decimal expansion (the 766,778ordinal-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.