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137,810

137,810 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.).

137,810 (one hundred thirty-seven thousand eight hundred ten) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 5 × 13,781. Written other ways, in hexadecimal, 0x21A52.

Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
18,731
Recamán's sequence
a(493,207) = 137,810
Square (n²)
18,991,596,100
Cube (n³)
2,617,231,858,541,000
Divisor count
8
σ(n) — sum of divisors
248,076
φ(n) — Euler's totient
55,120
Sum of prime factors
13,788

Primality

Prime factorization: 2 × 5 × 13781

Nearest primes: 137,803 (−7) · 137,827 (+17)

Divisors & multiples

All divisors (8)
1 · 2 · 5 · 10 · 13781 · 27562 · 68905 (half) · 137810
Aliquot sum (sum of proper divisors): 110,266
Factor pairs (a × b = 137,810)
1 × 137810
2 × 68905
5 × 27562
10 × 13781
First multiples
137,810 · 275,620 (double) · 413,430 · 551,240 · 689,050 · 826,860 · 964,670 · 1,102,480 · 1,240,290 · 1,378,100

Sums & aliquot sequence

As a sum of two squares: 13² + 371² = 233² + 289²
As consecutive integers: 34,451 + 34,452 + 34,453 + 34,454 27,560 + 27,561 + 27,562 + 27,563 + 27,564 6,881 + 6,882 + … + 6,900
Aliquot sequence: 137,810 110,266 67,898 39,994 20,000 29,203 3,197 163 1 0 — terminates at zero

Continued fraction of √n

√137,810 = [371; (4, 2, 1, 1, 4, 3, 14, 1, 5, 3, 3, 1, 1, 21, 3, 1, 2, 5, 1, 7, 17, 1, 52, 11, …)]

Period length 51 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred ten
Ordinal
137810th
Binary
100001101001010010
Octal
415122
Hexadecimal
0x21A52
Base64
AhpS
One's complement
4,294,829,485 (32-bit)
Scientific notation
1.3781 × 10⁵
As a duration
137,810 s = 1 day, 14 hours, 16 minutes, 50 seconds
In other bases
ternary (3) 21000001002
quaternary (4) 201221102
quinary (5) 13402220
senary (6) 2542002
septenary (7) 1112531
nonary (9) 230032
undecimal (11) 945a2
duodecimal (12) 67902
tridecimal (13) 4a95a
tetradecimal (14) 38318
pentadecimal (15) 2ac75
Palindromic in base 9

As an angle

137,810° = 382 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρλζωιʹ
Mayan (base 20)
𝋱·𝋤·𝋪·𝋪
Chinese
一十三萬七千八百一十
Chinese (financial)
壹拾參萬柒仟捌佰壹拾
In other modern scripts
Eastern Arabic ١٣٧٨١٠ Devanagari १३७८१० Bengali ১৩৭৮১০ Tamil ௧௩௭௮௧௦ Thai ๑๓๗๘๑๐ Tibetan ༡༣༧༨༡༠ Khmer ១៣៧៨១០ Lao ໑໓໗໘໑໐ Burmese ၁၃၇၈၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137810, here are decompositions:

  • 7 + 137803 = 137810
  • 19 + 137791 = 137810
  • 67 + 137743 = 137810
  • 73 + 137737 = 137810
  • 97 + 137713 = 137810
  • 103 + 137707 = 137810
  • 151 + 137659 = 137810
  • 157 + 137653 = 137810

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩒
CJK Unified Ideograph-21A52
U+21A52
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 92 (4 bytes).

Hex color
#021A52
RGB(2, 26, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.82.

Address
0.2.26.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.82

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 137,810 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 137810 first appears in π at position 60,809 of the decimal expansion (the 60,809ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.