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133,908

133,908 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.).

133,908 (one hundred thirty-three thousand nine hundred eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,159. Its proper divisors sum to 178,572, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20B14.

Abundant Number Arithmetic Number Cube-Free Evil Number Refactorable Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
809,331
Square (n²)
17,931,352,464
Cube (n³)
2,401,151,545,749,312
Divisor count
12
σ(n) — sum of divisors
312,480
φ(n) — Euler's totient
44,632
Sum of prime factors
11,166

Primality

Prime factorization: 2 2 × 3 × 11159

Nearest primes: 133,877 (−31) · 133,919 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11159 · 22318 · 33477 · 44636 · 66954 (half) · 133908
Aliquot sum (sum of proper divisors): 178,572
Factor pairs (a × b = 133,908)
1 × 133908
2 × 66954
3 × 44636
4 × 33477
6 × 22318
12 × 11159
First multiples
133,908 · 267,816 (double) · 401,724 · 535,632 · 669,540 · 803,448 · 937,356 · 1,071,264 · 1,205,172 · 1,339,080

Sums & aliquot sequence

As consecutive integers: 44,635 + 44,636 + 44,637 16,735 + 16,736 + … + 16,742 5,568 + 5,569 + … + 5,591
Aliquot sequence: 133,908 178,572 256,884 342,540 797,508 1,218,506 609,256 533,114 285,286 149,234 92,686 60,530 48,442 25,754 13,606 6,806 3,778 — unresolved within range

Continued fraction of √n

√133,908 = [365; (1, 14, 4, 45, 2, 60, 2, 45, 4, 14, 1, 730)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand nine hundred eight
Ordinal
133908th
Binary
100000101100010100
Octal
405424
Hexadecimal
0x20B14
Base64
AgsU
One's complement
4,294,833,387 (32-bit)
Scientific notation
1.33908 × 10⁵
As a duration
133,908 s = 1 day, 13 hours, 11 minutes, 48 seconds
In other bases
ternary (3) 20210200120
quaternary (4) 200230110
quinary (5) 13241113
senary (6) 2511540
septenary (7) 1065255
nonary (9) 223616
undecimal (11) 91675
duodecimal (12) 655b0
tridecimal (13) 48c48
tetradecimal (14) 36b2c
pentadecimal (15) 29a23

As an angle

133,908° = 371 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγϡηʹ
Mayan (base 20)
𝋰·𝋮·𝋯·𝋨
Chinese
一十三萬三千九百零八
Chinese (financial)
壹拾參萬參仟玖佰零捌
In other modern scripts
Eastern Arabic ١٣٣٩٠٨ Devanagari १३३९०८ Bengali ১৩৩৯০৮ Tamil ௧௩௩௯௦௮ Thai ๑๓๓๙๐๘ Tibetan ༡༣༣༩༠༨ Khmer ១៣៣៩០៨ Lao ໑໓໓໙໐໘ Burmese ၁၃၃၉၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133908, here are decompositions:

  • 31 + 133877 = 133908
  • 97 + 133811 = 133908
  • 107 + 133801 = 133908
  • 127 + 133781 = 133908
  • 139 + 133769 = 133908
  • 191 + 133717 = 133908
  • 197 + 133711 = 133908
  • 199 + 133709 = 133908

Showing the first eight; more decompositions exist.

Unicode codepoint
𠬔
CJK Unified Ideograph-20B14
U+20B14
Other letter (Lo)

UTF-8 encoding: F0 A0 AC 94 (4 bytes).

Hex color
#020B14
RGB(2, 11, 20)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.11.20.

Address
0.2.11.20
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.11.20

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 133,908 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 133908 first appears in π at position 302,218 of the decimal expansion (the 302,218ordinal-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°.