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137,608

137,608 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.).

137,608 (one hundred thirty-seven thousand six hundred eight) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 103 × 167. Written other ways, in hexadecimal, 0x21988.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
806,731
Recamán's sequence
a(493,611) = 137,608
Square (n²)
18,935,961,664
Cube (n³)
2,605,739,812,659,712
Divisor count
16
σ(n) — sum of divisors
262,080
φ(n) — Euler's totient
67,728
Sum of prime factors
276

Primality

Prime factorization: 2 3 × 103 × 167

Nearest primes: 137,597 (−11) · 137,623 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 103 · 167 · 206 · 334 · 412 · 668 · 824 · 1336 · 17201 · 34402 · 68804 (half) · 137608
Aliquot sum (sum of proper divisors): 124,472
Factor pairs (a × b = 137,608)
1 × 137608
2 × 68804
4 × 34402
8 × 17201
103 × 1336
167 × 824
206 × 668
334 × 412
First multiples
137,608 · 275,216 (double) · 412,824 · 550,432 · 688,040 · 825,648 · 963,256 · 1,100,864 · 1,238,472 · 1,376,080

Sums & aliquot sequence

As consecutive integers: 8,593 + 8,594 + … + 8,608 1,285 + 1,286 + … + 1,387 741 + 742 + … + 907
Aliquot sequence: 137,608 124,472 108,928 123,632 115,936 112,376 117,664 114,050 98,176 116,024 101,536 110,144 108,550 110,186 59,674 29,840 39,724 — unresolved within range

Continued fraction of √n

√137,608 = [370; (1, 21, 2, 14, 1, 1, 1, 6, 1, 91, 1, 6, 1, 1, 1, 14, 2, 21, 1, 740)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand six hundred eight
Ordinal
137608th
Binary
100001100110001000
Octal
414610
Hexadecimal
0x21988
Base64
AhmI
One's complement
4,294,829,687 (32-bit)
Scientific notation
1.37608 × 10⁵
As a duration
137,608 s = 1 day, 14 hours, 13 minutes, 28 seconds
In other bases
ternary (3) 20222202121
quaternary (4) 201212020
quinary (5) 13400413
senary (6) 2541024
septenary (7) 1112122
nonary (9) 228677
undecimal (11) 94429
duodecimal (12) 67774
tridecimal (13) 4a833
tetradecimal (14) 38212
pentadecimal (15) 2ab8d

As an angle

137,608° = 382 × 360° + 88°
88° ≈ 1.536 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχηʹ
Mayan (base 20)
𝋱·𝋤·𝋠·𝋨
Chinese
一十三萬七千六百零八
Chinese (financial)
壹拾參萬柒仟陸佰零捌
In other modern scripts
Eastern Arabic ١٣٧٦٠٨ Devanagari १३७६०८ Bengali ১৩৭৬০৮ Tamil ௧௩௭௬௦௮ Thai ๑๓๗๖๐๘ Tibetan ༡༣༧༦༠༨ Khmer ១៣៧៦០៨ Lao ໑໓໗໖໐໘ Burmese ၁၃၇၆၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137608, here are decompositions:

  • 11 + 137597 = 137608
  • 41 + 137567 = 137608
  • 71 + 137537 = 137608
  • 89 + 137519 = 137608
  • 101 + 137507 = 137608
  • 131 + 137477 = 137608
  • 239 + 137369 = 137608
  • 269 + 137339 = 137608

Showing the first eight; more decompositions exist.

Unicode codepoint
𡦈
CJK Unified Ideograph-21988
U+21988
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 88 (4 bytes).

Hex color
#021988
RGB(2, 25, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.136.

Address
0.2.25.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.136

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 137,608 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