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137,356

137,356 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.).

137,356 (one hundred thirty-seven thousand three hundred fifty-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 23 × 1,493. Written other ways, in hexadecimal, 0x2188C.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,890
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
653,731
Recamán's sequence
a(37,516) = 137,356
Square (n²)
18,866,670,736
Cube (n³)
2,591,450,425,614,016
Divisor count
12
σ(n) — sum of divisors
250,992
φ(n) — Euler's totient
65,648
Sum of prime factors
1,520

Primality

Prime factorization: 2 2 × 23 × 1493

Nearest primes: 137,353 (−3) · 137,359 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 23 · 46 · 92 · 1493 · 2986 · 5972 · 34339 · 68678 (half) · 137356
Aliquot sum (sum of proper divisors): 113,636
Factor pairs (a × b = 137,356)
1 × 137356
2 × 68678
4 × 34339
23 × 5972
46 × 2986
92 × 1493
First multiples
137,356 · 274,712 (double) · 412,068 · 549,424 · 686,780 · 824,136 · 961,492 · 1,098,848 · 1,236,204 · 1,373,560

Sums & aliquot sequence

As consecutive integers: 17,166 + 17,167 + … + 17,173 5,961 + 5,962 + … + 5,983 655 + 656 + … + 838
Aliquot sequence: 137,356 113,636 85,234 49,406 35,314 17,660 19,468 15,924 21,260 23,428 17,578 13,526 6,766 4,034 2,020 2,264 1,996 — unresolved within range

Continued fraction of √n

√137,356 = [370; (1, 1, 1, 1, 1, 1, 17, 1, 10, 1, 4, 1, 1, 6, 1, 6, 2, 8, 3, 1, 13, 1, 3, 2, …)]

Representations

In words
one hundred thirty-seven thousand three hundred fifty-six
Ordinal
137356th
Binary
100001100010001100
Octal
414214
Hexadecimal
0x2188C
Base64
AhiM
One's complement
4,294,829,939 (32-bit)
Scientific notation
1.37356 × 10⁵
As a duration
137,356 s = 1 day, 14 hours, 9 minutes, 16 seconds
In other bases
ternary (3) 20222102021
quaternary (4) 201202030
quinary (5) 13343411
senary (6) 2535524
septenary (7) 1111312
nonary (9) 228367
undecimal (11) 9421a
duodecimal (12) 675a4
tridecimal (13) 4a69b
tetradecimal (14) 380b2
pentadecimal (15) 2aa71

As an angle

137,356° = 381 × 360° + 196°
196° ≈ 3.421 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτνϛʹ
Mayan (base 20)
𝋱·𝋣·𝋧·𝋰
Chinese
一十三萬七千三百五十六
Chinese (financial)
壹拾參萬柒仟參佰伍拾陸
In other modern scripts
Eastern Arabic ١٣٧٣٥٦ Devanagari १३७३५६ Bengali ১৩৭৩৫৬ Tamil ௧௩௭௩௫௬ Thai ๑๓๗๓๕๖ Tibetan ༡༣༧༣༥༦ Khmer ១៣៧៣៥៦ Lao ໑໓໗໓໕໖ Burmese ၁၃၇၃၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137356, here are decompositions:

  • 3 + 137353 = 137356
  • 17 + 137339 = 137356
  • 53 + 137303 = 137356
  • 83 + 137273 = 137356
  • 137 + 137219 = 137356
  • 173 + 137183 = 137356
  • 179 + 137177 = 137356
  • 239 + 137117 = 137356

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢌
CJK Unified Ideograph-2188C
U+2188C
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 8C (4 bytes).

Hex color
#02188C
RGB(2, 24, 140)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.140.

Address
0.2.24.140
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.140

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 137,356 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