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137,318

137,318 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.).

137,318 (one hundred thirty-seven thousand three hundred eighteen) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,659. Written other ways, in hexadecimal, 0x21866.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
504
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
813,731
Recamán's sequence
a(37,440) = 137,318
Square (n²)
18,856,233,124
Cube (n³)
2,589,300,220,121,432
Divisor count
4
σ(n) — sum of divisors
205,980
φ(n) — Euler's totient
68,658
Sum of prime factors
68,661

Primality

Prime factorization: 2 × 68659

Nearest primes: 137,303 (−15) · 137,321 (+3)

Divisors & multiples

All divisors (4)
1 · 2 · 68659 (half) · 137318
Aliquot sum (sum of proper divisors): 68,662
Factor pairs (a × b = 137,318)
1 × 137318
2 × 68659
First multiples
137,318 · 274,636 (double) · 411,954 · 549,272 · 686,590 · 823,908 · 961,226 · 1,098,544 · 1,235,862 · 1,373,180

Sums & aliquot sequence

As consecutive integers: 34,328 + 34,329 + 34,330 + 34,331
Aliquot sequence: 137,318 68,662 43,730 35,002 25,190 24,490 21,590 19,882 9,944 10,576 9,946 4,976 4,696 4,124 3,100 3,844 3,107 — unresolved within range

Continued fraction of √n

√137,318 = [370; (1, 1, 3, 2, 1, 1, 1, 2, 1, 1, 4, 3, 21, 2, 19, 67, 3, 11, 1, 1, 1, 1, 1, 4, …)]

Representations

In words
one hundred thirty-seven thousand three hundred eighteen
Ordinal
137318th
Binary
100001100001100110
Octal
414146
Hexadecimal
0x21866
Base64
Ahhm
One's complement
4,294,829,977 (32-bit)
Scientific notation
1.37318 × 10⁵
As a duration
137,318 s = 1 day, 14 hours, 8 minutes, 38 seconds
In other bases
ternary (3) 20222100212
quaternary (4) 201201212
quinary (5) 13343233
senary (6) 2535422
septenary (7) 1111226
nonary (9) 228325
undecimal (11) 94195
duodecimal (12) 67572
tridecimal (13) 4a66c
tetradecimal (14) 38086
pentadecimal (15) 2aa48

As an angle

137,318° = 381 × 360° + 158°
158° ≈ 2.758 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτιηʹ
Mayan (base 20)
𝋱·𝋣·𝋥·𝋲
Chinese
一十三萬七千三百一十八
Chinese (financial)
壹拾參萬柒仟參佰壹拾捌
In other modern scripts
Eastern Arabic ١٣٧٣١٨ Devanagari १३७३१८ Bengali ১৩৭৩১৮ Tamil ௧௩௭௩௧௮ Thai ๑๓๗๓๑๘ Tibetan ༡༣༧༣༡༨ Khmer ១៣៧៣១៨ Lao ໑໓໗໓໑໘ Burmese ၁၃၇၃၁၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137318, here are decompositions:

  • 67 + 137251 = 137318
  • 79 + 137239 = 137318
  • 109 + 137209 = 137318
  • 127 + 137191 = 137318
  • 199 + 137119 = 137318
  • 229 + 137089 = 137318
  • 241 + 137077 = 137318
  • 331 + 136987 = 137318

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡦
CJK Unified Ideograph-21866
U+21866
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 A6 (4 bytes).

Hex color
#021866
RGB(2, 24, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.102.

Address
0.2.24.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.102

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 137,318 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.