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100,624

100,624 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
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
426,001
Recamán's sequence
a(255,468) = 100,624
Square (n²)
10,125,189,376
Cube (n³)
1,018,837,055,770,624
Divisor count
20
σ(n) — sum of divisors
205,840
φ(n) — Euler's totient
47,520
Sum of prime factors
358

Primality

Prime factorization: 2 4 × 19 × 331

Nearest primes: 100,621 (−3) · 100,649 (+25)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 19 · 38 · 76 · 152 · 304 · 331 · 662 · 1324 · 2648 · 5296 · 6289 · 12578 · 25156 · 50312 (half) · 100624
Aliquot sum (sum of proper divisors): 105,216
Factor pairs (a × b = 100,624)
1 × 100624
2 × 50312
4 × 25156
8 × 12578
16 × 6289
19 × 5296
38 × 2648
76 × 1324
152 × 662
304 × 331
First multiples
100,624 · 201,248 (double) · 301,872 · 402,496 · 503,120 · 603,744 · 704,368 · 804,992 · 905,616 · 1,006,240

Sums & aliquot sequence

As consecutive integers: 5,287 + 5,288 + … + 5,305 3,129 + 3,130 + … + 3,160 139 + 140 + … + 469
Aliquot sequence: 100,624 105,216 176,856 265,344 440,496 1,107,024 1,752,912 4,127,664 6,643,968 11,555,808 22,700,064 37,265,856 61,333,896 103,796,664 155,695,056 286,889,712 485,953,680 — unresolved within range

Continued fraction of √n

√100,624 = [317; (4, 1, 2, 3, 4, 2, 2, 24, 1, 30, 1, 3, 5, 1, 1, 1, 1, 1, 5, 3, 1, 30, 1, 24, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand six hundred twenty-four
Ordinal
100624th
Binary
11000100100010000
Octal
304420
Hexadecimal
0x18910
Base64
AYkQ
One's complement
4,294,866,671 (32-bit)
Scientific notation
1.00624 × 10⁵
In other bases
ternary (3) 12010000211
quaternary (4) 120210100
quinary (5) 11204444
senary (6) 2053504
septenary (7) 566236
nonary (9) 163024
undecimal (11) 69667
duodecimal (12) 4a294
tridecimal (13) 36a54
tetradecimal (14) 28956
pentadecimal (15) 1ec34

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρχκδʹ
Mayan (base 20)
𝋬·𝋫·𝋫·𝋤
Chinese
一十萬零六百二十四
Chinese (financial)
壹拾萬零陸佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٠٦٢٤ Devanagari १००६२४ Bengali ১০০৬২৪ Tamil ௧௦௦௬௨௪ Thai ๑๐๐๖๒๔ Tibetan ༡༠༠༦༢༤ Khmer ១០០៦២៤ Lao ໑໐໐໖໒໔ Burmese ၁၀၀၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100624, here are decompositions:

  • 3 + 100621 = 100624
  • 11 + 100613 = 100624
  • 101 + 100523 = 100624
  • 107 + 100517 = 100624
  • 113 + 100511 = 100624
  • 131 + 100493 = 100624
  • 233 + 100391 = 100624
  • 263 + 100361 = 100624

Showing the first eight; more decompositions exist.

Unicode codepoint
𘤐
Tangut Component-273
U+18910
Other letter (Lo)

UTF-8 encoding: F0 98 A4 90 (4 bytes).

Hex color
#018910
RGB(1, 137, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.16.

Address
0.1.137.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.16

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 100,624 and was likely granted around 1870.

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