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137,057

137,057 is a composite number, odd.

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.).

137,057 (one hundred thirty-seven thousand fifty-seven) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 23 × 59 × 101. Written other ways, in hexadecimal, 0x21761.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
750,731
Square (n²)
18,784,621,249
Cube (n³)
2,574,563,834,524,193
Divisor count
8
σ(n) — sum of divisors
146,880
φ(n) — Euler's totient
127,600
Sum of prime factors
183

Primality

Prime factorization: 23 × 59 × 101

Nearest primes: 137,029 (−28) · 137,077 (+20)

Divisors & multiples

All divisors (8)
1 · 23 · 59 · 101 · 1357 · 2323 · 5959 · 137057
Aliquot sum (sum of proper divisors): 9,823
Factor pairs (a × b = 137,057)
1 × 137057
23 × 5959
59 × 2323
101 × 1357
First multiples
137,057 · 274,114 (double) · 411,171 · 548,228 · 685,285 · 822,342 · 959,399 · 1,096,456 · 1,233,513 · 1,370,570

Sums & aliquot sequence

As consecutive integers: 68,528 + 68,529 5,948 + 5,949 + … + 5,970 2,957 + 2,958 + … + 3,002 2,294 + 2,295 + … + 2,352
Aliquot sequence: 137,057 9,823 1,697 1 0 — terminates at zero

Continued fraction of √n

√137,057 = [370; (4, 1, 2, 1, 1, 45, 1, 2, 2, 1, 12, 1, 1, 11, 19, 1, 12, 3, 1, 2, 7, 3, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand fifty-seven
Ordinal
137057th
Binary
100001011101100001
Octal
413541
Hexadecimal
0x21761
Base64
Ahdh
One's complement
4,294,830,238 (32-bit)
Scientific notation
1.37057 × 10⁵
As a duration
137,057 s = 1 day, 14 hours, 4 minutes, 17 seconds
In other bases
ternary (3) 20222000012
quaternary (4) 201131201
quinary (5) 13341212
senary (6) 2534305
septenary (7) 1110404
nonary (9) 228005
undecimal (11) 93a78
duodecimal (12) 67395
tridecimal (13) 4a4cb
tetradecimal (14) 37d3b
pentadecimal (15) 2a922

As an angle

137,057° = 380 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζνζʹ
Mayan (base 20)
𝋱·𝋢·𝋬·𝋱
Chinese
一十三萬七千零五十七
Chinese (financial)
壹拾參萬柒仟零伍拾柒
In other modern scripts
Eastern Arabic ١٣٧٠٥٧ Devanagari १३७०५७ Bengali ১৩৭০৫৭ Tamil ௧௩௭௦௫௭ Thai ๑๓๗๐๕๗ Tibetan ༡༣༧༠༥༧ Khmer ១៣៧០៥៧ Lao ໑໓໗໐໕໗ Burmese ၁၃၇၀၅၇

Also seen as

Unicode codepoint
𡝡
CJK Unified Ideograph-21761
U+21761
Other letter (Lo)

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

Hex color
#021761
RGB(2, 23, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.97.

Address
0.2.23.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.97

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 137,057 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

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