number.wiki
Live analysis

133,938

133,938 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.).

133,938 (one hundred thirty-three thousand nine hundred thirty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 7 × 1,063. Its proper divisors sum to 198,030, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B32.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,944
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
839,331
Square (n²)
17,939,387,844
Cube (n³)
2,402,765,729,049,672
Divisor count
24
σ(n) — sum of divisors
331,968
φ(n) — Euler's totient
38,232
Sum of prime factors
1,078

Primality

Prime factorization: 2 × 3 2 × 7 × 1063

Nearest primes: 133,919 (−19) · 133,949 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 42 · 63 · 126 · 1063 · 2126 · 3189 · 6378 · 7441 · 9567 · 14882 · 19134 · 22323 · 44646 · 66969 (half) · 133938
Aliquot sum (sum of proper divisors): 198,030
Factor pairs (a × b = 133,938)
1 × 133938
2 × 66969
3 × 44646
6 × 22323
7 × 19134
9 × 14882
14 × 9567
18 × 7441
21 × 6378
42 × 3189
63 × 2126
126 × 1063
First multiples
133,938 · 267,876 (double) · 401,814 · 535,752 · 669,690 · 803,628 · 937,566 · 1,071,504 · 1,205,442 · 1,339,380

Sums & aliquot sequence

As consecutive integers: 44,645 + 44,646 + 44,647 33,483 + 33,484 + 33,485 + 33,486 19,131 + 19,132 + … + 19,137 14,878 + 14,879 + … + 14,886
Aliquot sequence: 133,938 198,030 382,578 491,982 499,890 764,430 1,098,354 1,098,366 1,135,122 1,135,134 2,340,954 4,156,326 5,568,474 5,568,486 9,154,074 9,154,086 10,458,714 — unresolved within range

Continued fraction of √n

√133,938 = [365; (1, 39, 1, 1, 1, 80, 1, 1, 1, 39, 1, 730)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred thirty-eight
Ordinal
133938th
Binary
100000101100110010
Octal
405462
Hexadecimal
0x20B32
Base64
Agsy
One's complement
4,294,833,357 (32-bit)
Scientific notation
1.33938 × 10⁵
As a duration
133,938 s = 1 day, 13 hours, 12 minutes, 18 seconds
In other bases
ternary (3) 20210201200
quaternary (4) 200230302
quinary (5) 13241223
senary (6) 2512030
septenary (7) 1065330
nonary (9) 223650
undecimal (11) 916a2
duodecimal (12) 65616
tridecimal (13) 48c6c
tetradecimal (14) 36b50
pentadecimal (15) 29a43

As an angle

133,938° = 372 × 360° + 18°
18° ≈ 0.314 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡληʹ
Mayan (base 20)
𝋰·𝋮·𝋰·𝋲
Chinese
一十三萬三千九百三十八
Chinese (financial)
壹拾參萬參仟玖佰參拾捌
In other modern scripts
Eastern Arabic ١٣٣٩٣٨ Devanagari १३३९३८ Bengali ১৩৩৯৩৮ Tamil ௧௩௩௯௩௮ Thai ๑๓๓๙๓๘ Tibetan ༡༣༣༩༣༨ Khmer ១៣៣៩៣៨ Lao ໑໓໓໙໓໘ Burmese ၁၃၃၉၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133938, here are decompositions:

  • 19 + 133919 = 133938
  • 61 + 133877 = 133938
  • 107 + 133831 = 133938
  • 127 + 133811 = 133938
  • 137 + 133801 = 133938
  • 157 + 133781 = 133938
  • 227 + 133711 = 133938
  • 229 + 133709 = 133938

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬲
CJK Unified Ideograph-20B32
U+20B32
Other letter (Lo)

UTF-8 encoding: F0 A0 AC B2 (4 bytes).

Hex color
#020B32
RGB(2, 11, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.50.

Address
0.2.11.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.50

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 133,938 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 133938 first appears in π at position 508,037 of the decimal expansion (the 508,037ordinal-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°.