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133,638

133,638 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.).

133,638 (one hundred thirty-three thousand six hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 22,273. Its proper divisors sum to 133,650, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20A06.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
1,296
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
836,331
Square (n²)
17,859,115,044
Cube (n³)
2,386,656,416,250,072
Divisor count
8
σ(n) — sum of divisors
267,288
φ(n) — Euler's totient
44,544
Sum of prime factors
22,278

Primality

Prime factorization: 2 × 3 × 22273

Nearest primes: 133,633 (−5) · 133,649 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 22273 · 44546 · 66819 (half) · 133638
Aliquot sum (sum of proper divisors): 133,650
Factor pairs (a × b = 133,638)
1 × 133638
2 × 66819
3 × 44546
6 × 22273
First multiples
133,638 · 267,276 (double) · 400,914 · 534,552 · 668,190 · 801,828 · 935,466 · 1,069,104 · 1,202,742 · 1,336,380

Sums & aliquot sequence

As consecutive integers: 44,545 + 44,546 + 44,547 33,408 + 33,409 + 33,410 + 33,411 11,131 + 11,132 + … + 11,142
Aliquot sequence: 133,638 133,650 272,574 349,866 571,734 721,818 882,342 1,029,438 1,201,050 2,237,346 2,610,276 3,646,044 5,570,436 7,876,284 12,609,636 19,076,508 34,387,812 — unresolved within range

Continued fraction of √n

√133,638 = [365; (1, 1, 3, 3, 18, 1, 14, 1, 1, 1, 1, 4, 1, 1, 4, 1, 9, 1, 3, 2, 7, 1, 24, 3, …)]

Representations

In words
one hundred thirty-three thousand six hundred thirty-eight
Ordinal
133638th
Binary
100000101000000110
Octal
405006
Hexadecimal
0x20A06
Base64
AgoG
One's complement
4,294,833,657 (32-bit)
Scientific notation
1.33638 × 10⁵
As a duration
133,638 s = 1 day, 13 hours, 7 minutes, 18 seconds
In other bases
ternary (3) 20210022120
quaternary (4) 200220012
quinary (5) 13234023
senary (6) 2510410
septenary (7) 1064421
nonary (9) 223276
undecimal (11) 9144a
duodecimal (12) 65406
tridecimal (13) 48a9b
tetradecimal (14) 369b8
pentadecimal (15) 298e3

As an angle

133,638° = 371 × 360° + 78°
78° ≈ 1.361 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγχληʹ
Mayan (base 20)
𝋰·𝋮·𝋡·𝋲
Chinese
一十三萬三千六百三十八
Chinese (financial)
壹拾參萬參仟陸佰參拾捌
In other modern scripts
Eastern Arabic ١٣٣٦٣٨ Devanagari १३३६३८ Bengali ১৩৩৬৩৮ Tamil ௧௩௩௬௩௮ Thai ๑๓๓๖๓๘ Tibetan ༡༣༣༦༣༨ Khmer ១៣៣៦៣៨ Lao ໑໓໓໖໓໘ Burmese ၁၃၃၆၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133638, here are decompositions:

  • 5 + 133633 = 133638
  • 7 + 133631 = 133638
  • 41 + 133597 = 133638
  • 67 + 133571 = 133638
  • 79 + 133559 = 133638
  • 97 + 133541 = 133638
  • 139 + 133499 = 133638
  • 157 + 133481 = 133638

Showing the first eight; more decompositions exist.

Unicode codepoint
𠨆
CJK Unified Ideograph-20A06
U+20A06
Other letter (Lo)

UTF-8 encoding: F0 A0 A8 86 (4 bytes).

Hex color
#020A06
RGB(2, 10, 6)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.6.

Address
0.2.10.6
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.6

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 133,638 and was likely granted around 1872.

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

Position in π

The digit sequence 133638 first appears in π at position 339,754 of the decimal expansion (the 339,754ordinal-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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.