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137,056

137,056 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.).

137,056 (one hundred thirty-seven thousand fifty-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,283. Written other ways, in hexadecimal, 0x21760.

Arithmetic Number Deficient Number Gapful Number Odious Number Pernicious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
650,731
Square (n²)
18,784,347,136
Cube (n³)
2,574,507,481,071,616
Divisor count
12
σ(n) — sum of divisors
269,892
φ(n) — Euler's totient
68,512
Sum of prime factors
4,293

Primality

Prime factorization: 2 5 × 4283

Nearest primes: 137,029 (−27) · 137,077 (+21)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4283 · 8566 · 17132 · 34264 · 68528 (half) · 137056
Aliquot sum (sum of proper divisors): 132,836
Factor pairs (a × b = 137,056)
1 × 137056
2 × 68528
4 × 34264
8 × 17132
16 × 8566
32 × 4283
First multiples
137,056 · 274,112 (double) · 411,168 · 548,224 · 685,280 · 822,336 · 959,392 · 1,096,448 · 1,233,504 · 1,370,560

Sums & aliquot sequence

As consecutive integers: 2,110 + 2,111 + … + 2,173
Aliquot sequence: 137,056 132,836 120,844 90,640 141,488 141,232 199,024 241,920 739,200 2,296,320 5,953,152 10,326,048 16,780,080 35,716,560 87,275,568 138,186,440 217,150,840 — unresolved within range

Continued fraction of √n

√137,056 = [370; (4, 1, 2, 1, 11, 1, 1, 1, 1, 10, 1, 3, 1, 2, 2, 43, 7, 1, 2, 4, 2, 29, 5, 1, …)]

Representations

In words
one hundred thirty-seven thousand fifty-six
Ordinal
137056th
Binary
100001011101100000
Octal
413540
Hexadecimal
0x21760
Base64
Ahdg
One's complement
4,294,830,239 (32-bit)
Scientific notation
1.37056 × 10⁵
As a duration
137,056 s = 1 day, 14 hours, 4 minutes, 16 seconds
In other bases
ternary (3) 20222000011
quaternary (4) 201131200
quinary (5) 13341211
senary (6) 2534304
septenary (7) 1110403
nonary (9) 228004
undecimal (11) 93a77
duodecimal (12) 67394
tridecimal (13) 4a4ca
tetradecimal (14) 37d3a
pentadecimal (15) 2a921

As an angle

137,056° = 380 × 360° + 256°
256° ≈ 4.468 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζνϛʹ
Mayan (base 20)
𝋱·𝋢·𝋬·𝋰
Chinese
一十三萬七千零五十六
Chinese (financial)
壹拾參萬柒仟零伍拾陸
In other modern scripts
Eastern Arabic ١٣٧٠٥٦ Devanagari १३७०५६ Bengali ১৩৭০৫৬ Tamil ௧௩௭௦௫௬ Thai ๑๓๗๐๕๖ Tibetan ༡༣༧༠༥༦ Khmer ១៣៧០៥៦ Lao ໑໓໗໐໕໖ Burmese ၁၃၇၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137056, here are decompositions:

  • 83 + 136973 = 137056
  • 107 + 136949 = 137056
  • 113 + 136943 = 137056
  • 167 + 136889 = 137056
  • 173 + 136883 = 137056
  • 197 + 136859 = 137056
  • 317 + 136739 = 137056
  • 347 + 136709 = 137056

Showing the first eight; more decompositions exist.

Unicode codepoint
𡝠
CJK Unified Ideograph-21760
U+21760
Other letter (Lo)

UTF-8 encoding: F0 A1 9D A0 (4 bytes).

Hex color
#021760
RGB(2, 23, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.96.

Address
0.2.23.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.96

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 137,056 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 137056 first appears in π at position 22,047 of the decimal expansion (the 22,047ordinal-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