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100,838

100,838 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.).
Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
838,001
Recamán's sequence
a(255,040) = 100,838
Square (n²)
10,168,302,244
Cube (n³)
1,025,351,261,680,472
Divisor count
8
σ(n) — sum of divisors
152,832
φ(n) — Euler's totient
49,896
Sum of prime factors
526

Primality

Prime factorization: 2 × 127 × 397

Nearest primes: 100,829 (−9) · 100,847 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 127 · 254 · 397 · 794 · 50419 (half) · 100838
Aliquot sum (sum of proper divisors): 51,994
Factor pairs (a × b = 100,838)
1 × 100838
2 × 50419
127 × 794
254 × 397
First multiples
100,838 · 201,676 (double) · 302,514 · 403,352 · 504,190 · 605,028 · 705,866 · 806,704 · 907,542 · 1,008,380

Sums & aliquot sequence

As consecutive integers: 25,208 + 25,209 + 25,210 + 25,211 731 + 732 + … + 857 56 + 57 + … + 452
Aliquot sequence: 100,838 51,994 26,000 41,704 42,716 33,724 25,300 37,196 31,852 23,896 22,904 26,296 25,904 24,316 18,244 13,690 11,636 — unresolved within range

Continued fraction of √n

√100,838 = [317; (1, 1, 4, 1, 1, 634)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand eight hundred thirty-eight
Ordinal
100838th
Binary
11000100111100110
Octal
304746
Hexadecimal
0x189E6
Base64
AYnm
One's complement
4,294,866,457 (32-bit)
Scientific notation
1.00838 × 10⁵
In other bases
ternary (3) 12010022202
quaternary (4) 120213212
quinary (5) 11211323
senary (6) 2054502
septenary (7) 566663
nonary (9) 163282
undecimal (11) 69841
duodecimal (12) 4a432
tridecimal (13) 36b8a
tetradecimal (14) 28a6a
pentadecimal (15) 1ed28
Palindromic in base 6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρωληʹ
Mayan (base 20)
𝋬·𝋬·𝋡·𝋲
Chinese
一十萬零八百三十八
Chinese (financial)
壹拾萬零捌佰參拾捌
In other modern scripts
Eastern Arabic ١٠٠٨٣٨ Devanagari १००८३८ Bengali ১০০৮৩৮ Tamil ௧௦௦௮௩௮ Thai ๑๐๐๘๓๘ Tibetan ༡༠༠༨༣༨ Khmer ១០០៨៣៨ Lao ໑໐໐໘໓໘ Burmese ၁၀၀၈၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100838, here are decompositions:

  • 37 + 100801 = 100838
  • 97 + 100741 = 100838
  • 139 + 100699 = 100838
  • 229 + 100609 = 100838
  • 337 + 100501 = 100838
  • 379 + 100459 = 100838
  • 421 + 100417 = 100838
  • 541 + 100297 = 100838

Showing the first eight; more decompositions exist.

Unicode codepoint
𘧦
Tangut Component-487
U+189E6
Other letter (Lo)

UTF-8 encoding: F0 98 A7 A6 (4 bytes).

Hex color
#0189E6
RGB(1, 137, 230)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.230.

Address
0.1.137.230
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.230

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 100,838 and was likely granted around 1870.

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