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133,738

133,738 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.).

133,738 (one hundred thirty-three thousand seven hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 11 × 6,079. Written other ways, in hexadecimal, 0x20A6A.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,512
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
837,331
Square (n²)
17,885,852,644
Cube (n³)
2,392,018,160,903,272
Divisor count
8
σ(n) — sum of divisors
218,880
φ(n) — Euler's totient
60,780
Sum of prime factors
6,092

Primality

Prime factorization: 2 × 11 × 6079

Nearest primes: 133,733 (−5) · 133,769 (+31)

Divisors & multiples

All divisors (8)
1 · 2 · 11 · 22 · 6079 · 12158 · 66869 (half) · 133738
Aliquot sum (sum of proper divisors): 85,142
Factor pairs (a × b = 133,738)
1 × 133738
2 × 66869
11 × 12158
22 × 6079
First multiples
133,738 · 267,476 (double) · 401,214 · 534,952 · 668,690 · 802,428 · 936,166 · 1,069,904 · 1,203,642 · 1,337,380

Sums & aliquot sequence

As consecutive integers: 33,433 + 33,434 + 33,435 + 33,436 12,153 + 12,154 + … + 12,163 3,018 + 3,019 + … + 3,061
Aliquot sequence: 133,738 85,142 42,574 30,434 15,220 16,784 15,766 7,886 3,946 1,976 2,224 2,116 1,755 1,605 987 549 257 — unresolved within range

Continued fraction of √n

√133,738 = [365; (1, 2, 2, 1, 4, 6, 1, 22, 1, 2, 1, 2, 1, 3, 1, 2, 17, 2, 12, 2, 1, 8, 2, 1, …)]

Representations

In words
one hundred thirty-three thousand seven hundred thirty-eight
Ordinal
133738th
Binary
100000101001101010
Octal
405152
Hexadecimal
0x20A6A
Base64
Agpq
One's complement
4,294,833,557 (32-bit)
Scientific notation
1.33738 × 10⁵
As a duration
133,738 s = 1 day, 13 hours, 8 minutes, 58 seconds
In other bases
ternary (3) 20210110021
quaternary (4) 200221222
quinary (5) 13234423
senary (6) 2511054
septenary (7) 1064623
nonary (9) 223407
undecimal (11) 91530
duodecimal (12) 6548a
tridecimal (13) 48b47
tetradecimal (14) 36a4a
pentadecimal (15) 2995d

As an angle

133,738° = 371 × 360° + 178°
178° ≈ 3.107 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλγψληʹ
Mayan (base 20)
𝋰·𝋮·𝋦·𝋲
Chinese
一十三萬三千七百三十八
Chinese (financial)
壹拾參萬參仟柒佰參拾捌
In other modern scripts
Eastern Arabic ١٣٣٧٣٨ Devanagari १३३७३८ Bengali ১৩৩৭৩৮ Tamil ௧௩௩௭௩௮ Thai ๑๓๓๗๓๘ Tibetan ༡༣༣༧༣༨ Khmer ១៣៣៧៣៨ Lao ໑໓໓໗໓໘ Burmese ၁၃၃၇၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 133738, here are decompositions:

  • 5 + 133733 = 133738
  • 29 + 133709 = 133738
  • 41 + 133697 = 133738
  • 47 + 133691 = 133738
  • 89 + 133649 = 133738
  • 107 + 133631 = 133738
  • 167 + 133571 = 133738
  • 179 + 133559 = 133738

Showing the first eight; more decompositions exist.

Unicode codepoint
𠩪
CJK Unified Ideograph-20A6A
U+20A6A
Other letter (Lo)

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

Hex color
#020A6A
RGB(2, 10, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.10.106.

Address
0.2.10.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.10.106

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 133,738 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 133738 first appears in π at position 172,052 of the decimal expansion (the 172,052ordinal-suffix:nd 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