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133,312

133,312 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.).

133,312 (one hundred thirty-three thousand three hundred twelve) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 2,083. Written other ways, in hexadecimal, 0x208C0.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
54
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
213,331
Recamán's sequence
a(35,284) = 133,312
Square (n²)
17,772,089,344
Cube (n³)
2,369,232,774,627,328
Divisor count
14
σ(n) — sum of divisors
264,668
φ(n) — Euler's totient
66,624
Sum of prime factors
2,095

Primality

Prime factorization: 2 6 × 2083

Nearest primes: 133,303 (−9) · 133,319 (+7)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 2083 · 4166 · 8332 · 16664 · 33328 · 66656 (half) · 133312
Aliquot sum (sum of proper divisors): 131,356
Factor pairs (a × b = 133,312)
1 × 133312
2 × 66656
4 × 33328
8 × 16664
16 × 8332
32 × 4166
64 × 2083
First multiples
133,312 · 266,624 (double) · 399,936 · 533,248 · 666,560 · 799,872 · 933,184 · 1,066,496 · 1,199,808 · 1,333,120

Sums & aliquot sequence

As consecutive integers: 978 + 979 + … + 1,105
Aliquot sequence: 133,312 131,356 98,524 73,900 86,680 127,160 204,400 364,512 592,584 888,936 1,333,464 2,303,976 3,795,864 5,693,856 11,925,984 23,853,984 55,780,032 — unresolved within range

Continued fraction of √n

√133,312 = [365; (8, 2, 1, 1, 4, 1, 1, 21, 1, 1, 2, 1, 1, 1, 5, 1, 17, 1, 6, 1, 103, 2, 4, 10, …)]

Representations

In words
one hundred thirty-three thousand three hundred twelve
Ordinal
133312th
Binary
100000100011000000
Octal
404300
Hexadecimal
0x208C0
Base64
AgjA
One's complement
4,294,833,983 (32-bit)
Scientific notation
1.33312 × 10⁵
As a duration
133,312 s = 1 day, 13 hours, 1 minute, 52 seconds
In other bases
ternary (3) 20202212111
quaternary (4) 200203000
quinary (5) 13231222
senary (6) 2505104
septenary (7) 1063444
nonary (9) 222774
undecimal (11) 91183
duodecimal (12) 65194
tridecimal (13) 488aa
tetradecimal (14) 36824
pentadecimal (15) 29777

As an angle

133,312° = 370 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλγτιβʹ
Mayan (base 20)
𝋰·𝋭·𝋥·𝋬
Chinese
一十三萬三千三百一十二
Chinese (financial)
壹拾參萬參仟參佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٣٣١٢ Devanagari १३३३१२ Bengali ১৩৩৩১২ Tamil ௧௩௩௩௧௨ Thai ๑๓๓๓๑๒ Tibetan ༡༣༣༣༡༢ Khmer ១៣៣៣១២ Lao ໑໓໓໓໑໒ Burmese ၁၃၃၃၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133312, here are decompositions:

  • 29 + 133283 = 133312
  • 41 + 133271 = 133312
  • 59 + 133253 = 133312
  • 71 + 133241 = 133312
  • 191 + 133121 = 133312
  • 239 + 133073 = 133312
  • 359 + 132953 = 133312
  • 383 + 132929 = 133312

Showing the first eight; more decompositions exist.

Unicode codepoint
𠣀
CJK Unified Ideograph-208C0
U+208C0
Other letter (Lo)

UTF-8 encoding: F0 A0 A3 80 (4 bytes).

Hex color
#0208C0
RGB(2, 8, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.8.192.

Address
0.2.8.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.8.192

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 133,312 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 133312 first appears in π at position 8,827 of the decimal expansion (the 8,827ordinal-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