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137,860

137,860 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.).

137,860 (one hundred thirty-seven thousand eight hundred sixty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 61 × 113. Its proper divisors sum to 158,996, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21A84.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
0
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
68,731
Recamán's sequence
a(493,107) = 137,860
Square (n²)
19,005,379,600
Cube (n³)
2,620,081,631,656,000
Divisor count
24
σ(n) — sum of divisors
296,856
φ(n) — Euler's totient
53,760
Sum of prime factors
183

Primality

Prime factorization: 2 2 × 5 × 61 × 113

Nearest primes: 137,849 (−11) · 137,867 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 20 · 61 · 113 · 122 · 226 · 244 · 305 · 452 · 565 · 610 · 1130 · 1220 · 2260 · 6893 · 13786 · 27572 · 34465 · 68930 (half) · 137860
Aliquot sum (sum of proper divisors): 158,996
Factor pairs (a × b = 137,860)
1 × 137860
2 × 68930
4 × 34465
5 × 27572
10 × 13786
20 × 6893
61 × 2260
113 × 1220
122 × 1130
226 × 610
244 × 565
305 × 452
First multiples
137,860 · 275,720 (double) · 413,580 · 551,440 · 689,300 · 827,160 · 965,020 · 1,102,880 · 1,240,740 · 1,378,600

Sums & aliquot sequence

As a sum of two squares: 112² + 354² = 158² + 336² = 174² + 328² = 216² + 302²
As consecutive integers: 27,570 + 27,571 + 27,572 + 27,573 + 27,574 17,229 + 17,230 + … + 17,236 3,427 + 3,428 + … + 3,466 2,230 + 2,231 + … + 2,290
Aliquot sequence: 137,860 158,996 119,254 59,630 50,530 43,934 27,994 14,000 24,688 23,176 20,294 10,786 5,396 4,684 3,520 5,624 5,776 — unresolved within range

Continued fraction of √n

√137,860 = [371; (3, 2, 1, 1, 3, 4, 1, 81, 1, 2, 3, 17, 1, 4, 3, 8, 1, 5, 1, 11, 1, 1, 11, 12, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred sixty
Ordinal
137860th
Binary
100001101010000100
Octal
415204
Hexadecimal
0x21A84
Base64
AhqE
One's complement
4,294,829,435 (32-bit)
Scientific notation
1.3786 × 10⁵
As a duration
137,860 s = 1 day, 14 hours, 17 minutes, 40 seconds
In other bases
ternary (3) 21000002221
quaternary (4) 201222010
quinary (5) 13402420
senary (6) 2542124
septenary (7) 1112632
nonary (9) 230087
undecimal (11) 94638
duodecimal (12) 67944
tridecimal (13) 4a998
tetradecimal (14) 38352
pentadecimal (15) 2acaa

As an angle

137,860° = 382 × 360° + 340°
340° ≈ 5.934 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλζωξʹ
Mayan (base 20)
𝋱·𝋤·𝋭·𝋠
Chinese
一十三萬七千八百六十
Chinese (financial)
壹拾參萬柒仟捌佰陸拾
In other modern scripts
Eastern Arabic ١٣٧٨٦٠ Devanagari १३७८६० Bengali ১৩৭৮৬০ Tamil ௧௩௭௮௬௦ Thai ๑๓๗๘๖๐ Tibetan ༡༣༧༨༦༠ Khmer ១៣៧៨៦០ Lao ໑໓໗໘໖໐ Burmese ၁၃၇၈၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137860, here are decompositions:

  • 11 + 137849 = 137860
  • 29 + 137831 = 137860
  • 83 + 137777 = 137860
  • 89 + 137771 = 137860
  • 137 + 137723 = 137860
  • 227 + 137633 = 137860
  • 263 + 137597 = 137860
  • 293 + 137567 = 137860

Showing the first eight; more decompositions exist.

Unicode codepoint
𡪄
CJK Unified Ideograph-21A84
U+21A84
Other letter (Lo)

UTF-8 encoding: F0 A1 AA 84 (4 bytes).

Hex color
#021A84
RGB(2, 26, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.132.

Address
0.2.26.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.132

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 137,860 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