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137,908

137,908 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.).

137,908 (one hundred thirty-seven thousand nine hundred eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 23 × 1,499. Written other ways, in hexadecimal, 0x21AB4.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
809,731
Recamán's sequence
a(493,011) = 137,908
Square (n²)
19,018,616,464
Cube (n³)
2,622,819,359,317,312
Divisor count
12
σ(n) — sum of divisors
252,000
φ(n) — Euler's totient
65,912
Sum of prime factors
1,526

Primality

Prime factorization: 2 2 × 23 × 1499

Nearest primes: 137,873 (−35) · 137,909 (+1)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 23 · 46 · 92 · 1499 · 2998 · 5996 · 34477 · 68954 (half) · 137908
Aliquot sum (sum of proper divisors): 114,092
Factor pairs (a × b = 137,908)
1 × 137908
2 × 68954
4 × 34477
23 × 5996
46 × 2998
92 × 1499
First multiples
137,908 · 275,816 (double) · 413,724 · 551,632 · 689,540 · 827,448 · 965,356 · 1,103,264 · 1,241,172 · 1,379,080

Sums & aliquot sequence

As consecutive integers: 17,235 + 17,236 + … + 17,242 5,985 + 5,986 + … + 6,007 658 + 659 + … + 841
Aliquot sequence: 137,908 114,092 103,804 77,860 96,020 105,664 121,920 268,224 512,064 1,178,560 1,747,520 2,544,064 2,560,320 7,583,424 12,704,064 21,238,464 40,664,384 — unresolved within range

Continued fraction of √n

√137,908 = [371; (2, 1, 3, 1, 1, 4, 4, 1, 38, 3, 1, 1, 5, 17, 1, 14, 1, 1, 8, 3, 14, 4, 7, 1, …)]

Representations

In words
one hundred thirty-seven thousand nine hundred eight
Ordinal
137908th
Binary
100001101010110100
Octal
415264
Hexadecimal
0x21AB4
Base64
Ahq0
One's complement
4,294,829,387 (32-bit)
Scientific notation
1.37908 × 10⁵
As a duration
137,908 s = 1 day, 14 hours, 18 minutes, 28 seconds
In other bases
ternary (3) 21000011201
quaternary (4) 201222310
quinary (5) 13403113
senary (6) 2542244
septenary (7) 1113031
nonary (9) 230151
undecimal (11) 94681
duodecimal (12) 67984
tridecimal (13) 4aa04
tetradecimal (14) 38388
pentadecimal (15) 2acdd

As an angle

137,908° = 383 × 360° + 28°
28° ≈ 0.489 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζϡηʹ
Mayan (base 20)
𝋱·𝋤·𝋯·𝋨
Chinese
一十三萬七千九百零八
Chinese (financial)
壹拾參萬柒仟玖佰零捌
In other modern scripts
Eastern Arabic ١٣٧٩٠٨ Devanagari १३७९०८ Bengali ১৩৭৯০৮ Tamil ௧௩௭௯௦௮ Thai ๑๓๗๙๐๘ Tibetan ༡༣༧༩༠༨ Khmer ១៣៧៩០៨ Lao ໑໓໗໙໐໘ Burmese ၁၃၇၉၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137908, here are decompositions:

  • 41 + 137867 = 137908
  • 59 + 137849 = 137908
  • 131 + 137777 = 137908
  • 137 + 137771 = 137908
  • 269 + 137639 = 137908
  • 311 + 137597 = 137908
  • 389 + 137519 = 137908
  • 401 + 137507 = 137908

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪴
CJK Unified Ideograph-21Ab4
U+21AB4
Other letter (Lo)

UTF-8 encoding: F0 A1 AA B4 (4 bytes).

Hex color
#021AB4
RGB(2, 26, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.180.

Address
0.2.26.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.180

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 137,908 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 137908 first appears in π at position 257,220 of the decimal expansion (the 257,220ordinal-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