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133,712

133,712 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.).

133,712 (one hundred thirty-three thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 61 × 137. Written other ways, in hexadecimal, 0x20A50.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
217,331
Square (n²)
17,878,898,944
Cube (n³)
2,390,623,335,600,128
Divisor count
20
σ(n) — sum of divisors
265,236
φ(n) — Euler's totient
65,280
Sum of prime factors
206

Primality

Prime factorization: 2 4 × 61 × 137

Nearest primes: 133,711 (−1) · 133,717 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 61 · 122 · 137 · 244 · 274 · 488 · 548 · 976 · 1096 · 2192 · 8357 · 16714 · 33428 · 66856 (half) · 133712
Aliquot sum (sum of proper divisors): 131,524
Factor pairs (a × b = 133,712)
1 × 133712
2 × 66856
4 × 33428
8 × 16714
16 × 8357
61 × 2192
122 × 1096
137 × 976
244 × 548
274 × 488
First multiples
133,712 · 267,424 (double) · 401,136 · 534,848 · 668,560 · 802,272 · 935,984 · 1,069,696 · 1,203,408 · 1,337,120

Sums & aliquot sequence

As a sum of two squares: 124² + 344² = 184² + 316²
As consecutive integers: 4,163 + 4,164 + … + 4,194 2,162 + 2,163 + … + 2,222 908 + 909 + … + 1,044
Aliquot sequence: 133,712 131,524 101,324 78,940 86,876 69,532 52,156 53,684 40,270 32,234 17,014 9,194 4,600 6,560 9,316 8,072 7,078 — unresolved within range

Continued fraction of √n

√133,712 = [365; (1, 1, 1, 730)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-three thousand seven hundred twelve
Ordinal
133712th
Binary
100000101001010000
Octal
405120
Hexadecimal
0x20A50
Base64
AgpQ
One's complement
4,294,833,583 (32-bit)
Scientific notation
1.33712 × 10⁵
As a duration
133,712 s = 1 day, 13 hours, 8 minutes, 32 seconds
In other bases
ternary (3) 20210102022
quaternary (4) 200221100
quinary (5) 13234322
senary (6) 2511012
septenary (7) 1064555
nonary (9) 223368
undecimal (11) 91507
duodecimal (12) 65468
tridecimal (13) 48b27
tetradecimal (14) 36a2c
pentadecimal (15) 29942

As an angle

133,712° = 371 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλγψιβʹ
Mayan (base 20)
𝋰·𝋮·𝋥·𝋬
Chinese
一十三萬三千七百一十二
Chinese (financial)
壹拾參萬參仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٣٧١٢ Devanagari १३३७१२ Bengali ১৩৩৭১২ Tamil ௧௩௩௭௧௨ Thai ๑๓๓๗๑๒ Tibetan ༡༣༣༧༡༢ Khmer ១៣៣៧១២ Lao ໑໓໓໗໑໒ Burmese ၁၃၃၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133712, here are decompositions:

  • 3 + 133709 = 133712
  • 43 + 133669 = 133712
  • 79 + 133633 = 133712
  • 193 + 133519 = 133712
  • 409 + 133303 = 133712
  • 433 + 133279 = 133712
  • 499 + 133213 = 133712
  • 643 + 133069 = 133712

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩐
CJK Unified Ideograph-20A50
U+20A50
Other letter (Lo)

UTF-8 encoding: F0 A0 A9 90 (4 bytes).

Hex color
#020A50
RGB(2, 10, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.80.

Address
0.2.10.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.80

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 133,712 and was likely granted around 1872.

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

Related reading

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