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100,608

100,608 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 Evil Number Flippable Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
806,001
Flips to (rotate 180°)
809,001
Recamán's sequence
a(255,500) = 100,608
Square (n²)
10,121,969,664
Cube (n³)
1,018,351,123,955,712
Divisor count
36
σ(n) — sum of divisors
269,808
φ(n) — Euler's totient
33,280
Sum of prime factors
150

Primality

Prime factorization: 2 8 × 3 × 131

Nearest primes: 100,591 (−17) · 100,609 (+1)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 131 · 192 · 256 · 262 · 384 · 393 · 524 · 768 · 786 · 1048 · 1572 · 2096 · 3144 · 4192 · 6288 · 8384 · 12576 · 16768 · 25152 · 33536 · 50304 (half) · 100608
Aliquot sum (sum of proper divisors): 169,200
Factor pairs (a × b = 100,608)
1 × 100608
2 × 50304
3 × 33536
4 × 25152
6 × 16768
8 × 12576
12 × 8384
16 × 6288
24 × 4192
32 × 3144
48 × 2096
64 × 1572
96 × 1048
128 × 786
131 × 768
192 × 524
256 × 393
262 × 384
First multiples
100,608 · 201,216 (double) · 301,824 · 402,432 · 503,040 · 603,648 · 704,256 · 804,864 · 905,472 · 1,006,080

Sums & aliquot sequence

As consecutive integers: 33,535 + 33,536 + 33,537 703 + 704 + … + 833 60 + 61 + … + 452
Aliquot sequence: 100,608 169,200 430,464 793,536 1,306,536 2,879,544 4,319,376 7,345,056 11,935,968 22,900,512 37,213,584 59,640,336 131,117,296 135,115,664 137,679,376 129,074,446 64,537,226 — unresolved within range

Continued fraction of √n

√100,608 = [317; (5, 3, 27, 3, 1, 2, 1, 1, 6, 1, 2, 1, 1, 39, 13, 2, 8, 2, 4, 1, 6, 12, 1, 3, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand six hundred eight
Ordinal
100608th
Binary
11000100100000000
Octal
304400
Hexadecimal
0x18900
Base64
AYkA
One's complement
4,294,866,687 (32-bit)
Scientific notation
1.00608 × 10⁵
In other bases
ternary (3) 12010000020
quaternary (4) 120210000
quinary (5) 11204413
senary (6) 2053440
septenary (7) 566214
nonary (9) 163006
undecimal (11) 69652
duodecimal (12) 4a280
tridecimal (13) 36a41
tetradecimal (14) 28944
pentadecimal (15) 1ec23

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρχηʹ
Mayan (base 20)
𝋬·𝋫·𝋪·𝋨
Chinese
一十萬零六百零八
Chinese (financial)
壹拾萬零陸佰零捌
In other modern scripts
Eastern Arabic ١٠٠٦٠٨ Devanagari १००६०८ Bengali ১০০৬০৮ Tamil ௧௦௦௬௦௮ Thai ๑๐๐๖๐๘ Tibetan ༡༠༠༦༠༨ Khmer ១០០៦០៨ Lao ໑໐໐໖໐໘ Burmese ၁၀၀၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100608, here are decompositions:

  • 17 + 100591 = 100608
  • 59 + 100549 = 100608
  • 61 + 100547 = 100608
  • 71 + 100537 = 100608
  • 89 + 100519 = 100608
  • 97 + 100511 = 100608
  • 107 + 100501 = 100608
  • 139 + 100469 = 100608

Showing the first eight; more decompositions exist.

Unicode codepoint
𘤀
Tangut Component-257
U+18900
Other letter (Lo)

UTF-8 encoding: F0 98 A4 80 (4 bytes).

Hex color
#018900
RGB(1, 137, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.0.

Address
0.1.137.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.0

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 100,608 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 100608 first appears in π at position 210,730 of the decimal expansion (the 210,730ordinal-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.