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137,812

137,812 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.).

137,812 (one hundred thirty-seven thousand eight hundred twelve) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 131 × 263. Written other ways, in hexadecimal, 0x21A54.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
218,731
Recamán's sequence
a(493,203) = 137,812
Square (n²)
18,992,147,344
Cube (n³)
2,617,345,809,771,328
Divisor count
12
σ(n) — sum of divisors
243,936
φ(n) — Euler's totient
68,120
Sum of prime factors
398

Primality

Prime factorization: 2 2 × 131 × 263

Nearest primes: 137,803 (−9) · 137,827 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 131 · 262 · 263 · 524 · 526 · 1052 · 34453 · 68906 (half) · 137812
Aliquot sum (sum of proper divisors): 106,124
Factor pairs (a × b = 137,812)
1 × 137812
2 × 68906
4 × 34453
131 × 1052
262 × 526
263 × 524
First multiples
137,812 · 275,624 (double) · 413,436 · 551,248 · 689,060 · 826,872 · 964,684 · 1,102,496 · 1,240,308 · 1,378,120

Sums & aliquot sequence

As consecutive integers: 17,223 + 17,224 + … + 17,230 987 + 988 + … + 1,117 393 + 394 + … + 655
Aliquot sequence: 137,812 106,124 84,220 92,684 88,756 66,574 33,290 26,650 28,034 14,734 7,946 4,474 2,240 3,856 3,646 1,826 1,198 — unresolved within range

Continued fraction of √n

√137,812 = [371; (4, 2, 1, 14, 1, 3, 2, 5, 3, 4, 1, 5, 3, 11, 1, 5, 1, 21, 1, 1, 1, 4, 10, 4, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred twelve
Ordinal
137812th
Binary
100001101001010100
Octal
415124
Hexadecimal
0x21A54
Base64
AhpU
One's complement
4,294,829,483 (32-bit)
Scientific notation
1.37812 × 10⁵
As a duration
137,812 s = 1 day, 14 hours, 16 minutes, 52 seconds
In other bases
ternary (3) 21000001011
quaternary (4) 201221110
quinary (5) 13402222
senary (6) 2542004
septenary (7) 1112533
nonary (9) 230034
undecimal (11) 945a4
duodecimal (12) 67904
tridecimal (13) 4a95c
tetradecimal (14) 3831a
pentadecimal (15) 2ac77

As an angle

137,812° = 382 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλζωιβʹ
Mayan (base 20)
𝋱·𝋤·𝋪·𝋬
Chinese
一十三萬七千八百一十二
Chinese (financial)
壹拾參萬柒仟捌佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٧٨١٢ Devanagari १३७८१२ Bengali ১৩৭৮১২ Tamil ௧௩௭௮௧௨ Thai ๑๓๗๘๑๒ Tibetan ༡༣༧༨༡༢ Khmer ១៣៧៨១២ Lao ໑໓໗໘໑໒ Burmese ၁၃၇၈၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137812, here are decompositions:

  • 41 + 137771 = 137812
  • 89 + 137723 = 137812
  • 113 + 137699 = 137812
  • 173 + 137639 = 137812
  • 179 + 137633 = 137812
  • 239 + 137573 = 137812
  • 293 + 137519 = 137812
  • 359 + 137453 = 137812

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩔
CJK Unified Ideograph-21A54
U+21A54
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 94 (4 bytes).

Hex color
#021A54
RGB(2, 26, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.84.

Address
0.2.26.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.84

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 137,812 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