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133,508

133,508 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.).

133,508 (one hundred thirty-three thousand five hundred eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 33,377. Written other ways, in hexadecimal, 0x20984.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
805,331
Square (n²)
17,824,386,064
Cube (n³)
2,379,698,134,632,512
Divisor count
6
σ(n) — sum of divisors
233,646
φ(n) — Euler's totient
66,752
Sum of prime factors
33,381

Primality

Prime factorization: 2 2 × 33377

Nearest primes: 133,499 (−9) · 133,519 (+11)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 33377 · 66754 (half) · 133508
Aliquot sum (sum of proper divisors): 100,138
Factor pairs (a × b = 133,508)
1 × 133508
2 × 66754
4 × 33377
First multiples
133,508 · 267,016 (double) · 400,524 · 534,032 · 667,540 · 801,048 · 934,556 · 1,068,064 · 1,201,572 · 1,335,080

Sums & aliquot sequence

As a sum of two squares: 98² + 352²
As consecutive integers: 16,685 + 16,686 + … + 16,692
Aliquot sequence: 133,508 100,138 50,072 52,528 67,628 68,452 53,208 91,092 121,484 113,128 102,872 139,048 183,512 226,888 205,112 179,488 183,392 — unresolved within range

Continued fraction of √n

√133,508 = [365; (2, 1, 1, 2, 1, 1, 2, 4, 6, 1, 1, 1, 1, 22, 4, 3, 66, 7, 1, 12, 1, 10, 2, 25, …)]

Representations

In words
one hundred thirty-three thousand five hundred eight
Ordinal
133508th
Binary
100000100110000100
Octal
404604
Hexadecimal
0x20984
Base64
AgmE
One's complement
4,294,833,787 (32-bit)
Scientific notation
1.33508 × 10⁵
As a duration
133,508 s = 1 day, 13 hours, 5 minutes, 8 seconds
In other bases
ternary (3) 20210010202
quaternary (4) 200212010
quinary (5) 13233013
senary (6) 2510032
septenary (7) 1064144
nonary (9) 223122
undecimal (11) 91341
duodecimal (12) 65318
tridecimal (13) 489cb
tetradecimal (14) 36924
pentadecimal (15) 29858

As an angle

133,508° = 370 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγφηʹ
Mayan (base 20)
𝋰·𝋭·𝋯·𝋨
Chinese
一十三萬三千五百零八
Chinese (financial)
壹拾參萬參仟伍佰零捌
In other modern scripts
Eastern Arabic ١٣٣٥٠٨ Devanagari १३३५०८ Bengali ১৩৩৫০৮ Tamil ௧௩௩௫௦௮ Thai ๑๓๓๕๐๘ Tibetan ༡༣༣༥༠༨ Khmer ១៣៣៥០៨ Lao ໑໓໓໕໐໘ Burmese ၁၃၃၅၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133508, here are decompositions:

  • 61 + 133447 = 133508
  • 157 + 133351 = 133508
  • 181 + 133327 = 133508
  • 229 + 133279 = 133508
  • 307 + 133201 = 133508
  • 421 + 133087 = 133508
  • 439 + 133069 = 133508
  • 457 + 133051 = 133508

Showing the first eight; more decompositions exist.

Unicode codepoint
𠦄
CJK Unified Ideograph-20984
U+20984
Other letter (Lo)

UTF-8 encoding: F0 A0 A6 84 (4 bytes).

Hex color
#020984
RGB(2, 9, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.9.132.

Address
0.2.9.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.9.132

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 133,508 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 133508 first appears in π at position 437,890 of the decimal expansion (the 437,890ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.