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137,008

137,008 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.).

137,008 (one hundred thirty-seven thousand eight) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,563. Written other ways, in hexadecimal, 0x21730.

Deficient Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
800,731
Square (n²)
18,771,192,064
Cube (n³)
2,571,803,482,304,512
Divisor count
10
σ(n) — sum of divisors
265,484
φ(n) — Euler's totient
68,496
Sum of prime factors
8,571

Primality

Prime factorization: 2 4 × 8563

Nearest primes: 136,999 (−9) · 137,029 (+21)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8563 · 17126 · 34252 · 68504 (half) · 137008
Aliquot sum (sum of proper divisors): 128,476
Factor pairs (a × b = 137,008)
1 × 137008
2 × 68504
4 × 34252
8 × 17126
16 × 8563
First multiples
137,008 · 274,016 (double) · 411,024 · 548,032 · 685,040 · 822,048 · 959,056 · 1,096,064 · 1,233,072 · 1,370,080

Sums & aliquot sequence

As consecutive integers: 4,266 + 4,267 + … + 4,297
Aliquot sequence: 137,008 128,476 96,364 72,280 104,120 144,280 180,440 258,040 322,640 454,840 588,440 768,040 1,368,920 2,151,880 2,902,520 3,685,480 4,666,520 — unresolved within range

Continued fraction of √n

√137,008 = [370; (6, 1, 5, 1, 4, 3, 10, 8, 1, 2, 1, 1, 11, 5, 1, 1, 1, 7, 15, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand eight
Ordinal
137008th
Binary
100001011100110000
Octal
413460
Hexadecimal
0x21730
Base64
Ahcw
One's complement
4,294,830,287 (32-bit)
Scientific notation
1.37008 × 10⁵
As a duration
137,008 s = 1 day, 14 hours, 3 minutes, 28 seconds
In other bases
ternary (3) 20221221101
quaternary (4) 201130300
quinary (5) 13341013
senary (6) 2534144
septenary (7) 1110304
nonary (9) 227841
undecimal (11) 93a33
duodecimal (12) 67354
tridecimal (13) 4a491
tetradecimal (14) 37d04
pentadecimal (15) 2a8dd

As an angle

137,008° = 380 × 360° + 208°
208° ≈ 3.63 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζηʹ
Mayan (base 20)
𝋱·𝋢·𝋪·𝋨
Chinese
一十三萬七千零八
Chinese (financial)
壹拾參萬柒仟零捌
In other modern scripts
Eastern Arabic ١٣٧٠٠٨ Devanagari १३७००८ Bengali ১৩৭০০৮ Tamil ௧௩௭௦௦௮ Thai ๑๓๗๐๐๘ Tibetan ༡༣༧༠༠༨ Khmer ១៣៧០០៨ Lao ໑໓໗໐໐໘ Burmese ၁၃၇၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137008, here are decompositions:

  • 17 + 136991 = 137008
  • 29 + 136979 = 137008
  • 59 + 136949 = 137008
  • 149 + 136859 = 137008
  • 167 + 136841 = 137008
  • 197 + 136811 = 137008
  • 239 + 136769 = 137008
  • 257 + 136751 = 137008

Showing the first eight; more decompositions exist.

Unicode codepoint
𡜰
CJK Unified Ideograph-21730
U+21730
Other letter (Lo)

UTF-8 encoding: F0 A1 9C B0 (4 bytes).

Hex color
#021730
RGB(2, 23, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.48.

Address
0.2.23.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.48

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 137,008 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