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100,744

100,744 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 Gapful Number Happy Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
447,001
Recamán's sequence
a(255,228) = 100,744
Square (n²)
10,149,353,536
Cube (n³)
1,022,486,472,630,784
Divisor count
24
σ(n) — sum of divisors
220,590
φ(n) — Euler's totient
43,008
Sum of prime factors
277

Primality

Prime factorization: 2 3 × 7 2 × 257

Nearest primes: 100,741 (−3) · 100,747 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 49 · 56 · 98 · 196 · 257 · 392 · 514 · 1028 · 1799 · 2056 · 3598 · 7196 · 12593 · 14392 · 25186 · 50372 (half) · 100744
Aliquot sum (sum of proper divisors): 119,846
Factor pairs (a × b = 100,744)
1 × 100744
2 × 50372
4 × 25186
7 × 14392
8 × 12593
14 × 7196
28 × 3598
49 × 2056
56 × 1799
98 × 1028
196 × 514
257 × 392
First multiples
100,744 · 201,488 (double) · 302,232 · 402,976 · 503,720 · 604,464 · 705,208 · 805,952 · 906,696 · 1,007,440

Sums & aliquot sequence

As a sum of two squares: 210² + 238²
As consecutive integers: 14,389 + 14,390 + … + 14,395 6,289 + 6,290 + … + 6,304 2,032 + 2,033 + … + 2,080 844 + 845 + … + 955
Aliquot sequence: 100,744 119,846 65,818 32,912 41,302 21,554 13,306 6,656 7,666 3,836 3,892 3,948 6,804 13,580 19,348 19,404 42,840 — unresolved within range

Continued fraction of √n

√100,744 = [317; (2, 2, 20, 12, 1, 9, 1, 1, 1, 10, 2, 12, 2, 10, 1, 1, 1, 9, 1, 12, 20, 2, 2, 634)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand seven hundred forty-four
Ordinal
100744th
Binary
11000100110001000
Octal
304610
Hexadecimal
0x18988
Base64
AYmI
One's complement
4,294,866,551 (32-bit)
Scientific notation
1.00744 × 10⁵
In other bases
ternary (3) 12010012021
quaternary (4) 120212020
quinary (5) 11210434
senary (6) 2054224
septenary (7) 566500
nonary (9) 163167
undecimal (11) 69766
duodecimal (12) 4a374
tridecimal (13) 36b17
tetradecimal (14) 28a00
pentadecimal (15) 1ecb4

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρψμδʹ
Mayan (base 20)
𝋬·𝋫·𝋱·𝋤
Chinese
一十萬零七百四十四
Chinese (financial)
壹拾萬零柒佰肆拾肆
In other modern scripts
Eastern Arabic ١٠٠٧٤٤ Devanagari १००७४४ Bengali ১০০৭৪৪ Tamil ௧௦௦௭௪௪ Thai ๑๐๐๗๔๔ Tibetan ༡༠༠༧༤༤ Khmer ១០០៧៤៤ Lao ໑໐໐໗໔໔ Burmese ၁၀၀၇၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100744, here are decompositions:

  • 3 + 100741 = 100744
  • 11 + 100733 = 100744
  • 41 + 100703 = 100744
  • 71 + 100673 = 100744
  • 131 + 100613 = 100744
  • 197 + 100547 = 100744
  • 227 + 100517 = 100744
  • 233 + 100511 = 100744

Showing the first eight; more decompositions exist.

Unicode codepoint
𘦈
Tangut Component-393
U+18988
Other letter (Lo)

UTF-8 encoding: F0 98 A6 88 (4 bytes).

Hex color
#018988
RGB(1, 137, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.136.

Address
0.1.137.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.136

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 100,744 and was likely granted around 1870.

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