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137,331

137,331 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.).

137,331 (one hundred thirty-seven thousand three hundred thirty-one) is an odd 6-digit number. It is a composite number with 6 divisors, and factors as 3² × 15,259. Written other ways, in hexadecimal, 0x21873.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
189
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
133,731
Recamán's sequence
a(37,466) = 137,331
Square (n²)
18,859,803,561
Cube (n³)
2,590,035,682,835,691
Divisor count
6
σ(n) — sum of divisors
198,380
φ(n) — Euler's totient
91,548
Sum of prime factors
15,265

Primality

Prime factorization: 3 2 × 15259

Nearest primes: 137,321 (−10) · 137,339 (+8)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 15259 · 45777 · 137331
Aliquot sum (sum of proper divisors): 61,049
Factor pairs (a × b = 137,331)
1 × 137331
3 × 45777
9 × 15259
First multiples
137,331 · 274,662 (double) · 411,993 · 549,324 · 686,655 · 823,986 · 961,317 · 1,098,648 · 1,235,979 · 1,373,310

Sums & aliquot sequence

As consecutive integers: 68,665 + 68,666 45,776 + 45,777 + 45,778 22,886 + 22,887 + 22,888 + 22,889 + 22,890 + 22,891 15,255 + 15,256 + … + 15,263
Aliquot sequence: 137,331 61,049 1,531 1 0 — terminates at zero

Continued fraction of √n

√137,331 = [370; (1, 1, 2, 1, 1, 4, 1, 1, 8, 2, 1, 1, 1, 2, 4, 1, 2, 3, 2, 16, 28, 2, 4, 11, …)]

Representations

In words
one hundred thirty-seven thousand three hundred thirty-one
Ordinal
137331st
Binary
100001100001110011
Octal
414163
Hexadecimal
0x21873
Base64
Ahhz
One's complement
4,294,829,964 (32-bit)
Scientific notation
1.37331 × 10⁵
As a duration
137,331 s = 1 day, 14 hours, 8 minutes, 51 seconds
In other bases
ternary (3) 20222101100
quaternary (4) 201201303
quinary (5) 13343311
senary (6) 2535443
septenary (7) 1111245
nonary (9) 228340
undecimal (11) 941a7
duodecimal (12) 67583
tridecimal (13) 4a67c
tetradecimal (14) 38095
pentadecimal (15) 2aa56

As an angle

137,331° = 381 × 360° + 171°
171° ≈ 2.985 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλζτλαʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋫
Chinese
一十三萬七千三百三十一
Chinese (financial)
壹拾參萬柒仟參佰參拾壹
In other modern scripts
Eastern Arabic ١٣٧٣٣١ Devanagari १३७३३१ Bengali ১৩৭৩৩১ Tamil ௧௩௭௩௩௧ Thai ๑๓๗๓๓๑ Tibetan ༡༣༧༣༣༡ Khmer ១៣៧៣៣១ Lao ໑໓໗໓໓໑ Burmese ၁၃၇၃၃၁

Also seen as

Unicode codepoint
𡡳
CJK Unified Ideograph-21873
U+21873
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 B3 (4 bytes).

Hex color
#021873
RGB(2, 24, 115)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.115.

Address
0.2.24.115
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.115

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 137,331 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.