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137,307

137,307 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.).

137,307 (one hundred thirty-seven thousand three hundred seven) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 3 × 37 × 1,237. Written other ways, in hexadecimal, 0x2185B.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Sphenic Number Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
703,731
Recamán's sequence
a(37,418) = 137,307
Square (n²)
18,853,212,249
Cube (n³)
2,588,678,014,273,443
Divisor count
8
σ(n) — sum of divisors
188,176
φ(n) — Euler's totient
88,992
Sum of prime factors
1,277

Primality

Prime factorization: 3 × 37 × 1237

Nearest primes: 137,303 (−4) · 137,321 (+14)

Divisors & multiples

All divisors (8)
1 · 3 · 37 · 111 · 1237 · 3711 · 45769 · 137307
Aliquot sum (sum of proper divisors): 50,869
Factor pairs (a × b = 137,307)
1 × 137307
3 × 45769
37 × 3711
111 × 1237
First multiples
137,307 · 274,614 (double) · 411,921 · 549,228 · 686,535 · 823,842 · 961,149 · 1,098,456 · 1,235,763 · 1,373,070

Sums & aliquot sequence

As consecutive integers: 68,653 + 68,654 45,768 + 45,769 + 45,770 22,882 + 22,883 + 22,884 + 22,885 + 22,886 + 22,887 3,693 + 3,694 + … + 3,729
Aliquot sequence: 137,307 50,869 13,547 1,813 353 1 0 — terminates at zero

Continued fraction of √n

√137,307 = [370; (1, 1, 4, 1, 1, 5, 1, 1, 2, 1, 5, 2, 1, 4, 28, 3, 2, 3, 1, 21, 1, 2, 6, 2, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred seven
Ordinal
137307th
Binary
100001100001011011
Octal
414133
Hexadecimal
0x2185B
Base64
Ahhb
One's complement
4,294,829,988 (32-bit)
Scientific notation
1.37307 × 10⁵
As a duration
137,307 s = 1 day, 14 hours, 8 minutes, 27 seconds
In other bases
ternary (3) 20222100110
quaternary (4) 201201123
quinary (5) 13343212
senary (6) 2535403
septenary (7) 1111212
nonary (9) 228313
undecimal (11) 94185
duodecimal (12) 67563
tridecimal (13) 4a661
tetradecimal (14) 38079
pentadecimal (15) 2aa3c

As an angle

137,307° = 381 × 360° + 147°
147° ≈ 2.566 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτζʹ
Mayan (base 20)
𝋱·𝋣·𝋥·𝋧
Chinese
一十三萬七千三百零七
Chinese (financial)
壹拾參萬柒仟參佰零柒
In other modern scripts
Eastern Arabic ١٣٧٣٠٧ Devanagari १३७३०७ Bengali ১৩৭৩০৭ Tamil ௧௩௭௩௦௭ Thai ๑๓๗๓๐๗ Tibetan ༡༣༧༣༠༧ Khmer ១៣៧៣០៧ Lao ໑໓໗໓໐໗ Burmese ၁၃၇၃၀၇

Also seen as

Unicode codepoint
𡡛
CJK Unified Ideograph-2185B
U+2185B
Other letter (Lo)

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

Hex color
#02185B
RGB(2, 24, 91)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.91.

Address
0.2.24.91
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.91

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 137,307 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 137307 first appears in π at position 376,250 of the decimal expansion (the 376,250ordinal-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

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