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137,309

137,309 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.).

137,309 (one hundred thirty-seven thousand three hundred nine) is an odd 6-digit number. It is a composite number with 8 divisors, and factors as 17 × 41 × 197. Written other ways, in hexadecimal, 0x2185D.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence 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
903,731
Recamán's sequence
a(37,422) = 137,309
Square (n²)
18,853,761,481
Cube (n³)
2,588,791,135,194,629
Divisor count
8
σ(n) — sum of divisors
149,688
φ(n) — Euler's totient
125,440
Sum of prime factors
255

Primality

Prime factorization: 17 × 41 × 197

Nearest primes: 137,303 (−6) · 137,321 (+12)

Divisors & multiples

All divisors (8)
1 · 17 · 41 · 197 · 697 · 3349 · 8077 · 137309
Aliquot sum (sum of proper divisors): 12,379
Factor pairs (a × b = 137,309)
1 × 137309
17 × 8077
41 × 3349
197 × 697
First multiples
137,309 · 274,618 (double) · 411,927 · 549,236 · 686,545 · 823,854 · 961,163 · 1,098,472 · 1,235,781 · 1,373,090

Sums & aliquot sequence

As a sum of two squares: 130² + 347² = 178² + 325² = 203² + 310² = 245² + 278²
As consecutive integers: 68,654 + 68,655 8,069 + 8,070 + … + 8,085 4,022 + 4,023 + … + 4,055 3,329 + 3,330 + … + 3,369
Aliquot sequence: 137,309 12,379 1 0 — terminates at zero

Continued fraction of √n

√137,309 = [370; (1, 1, 4, 3, 1, 1, 3, 1, 2, 1, 6, 1, 2, 12, 4, 1, 2, 2, 1, 28, 1, 16, 3, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred nine
Ordinal
137309th
Binary
100001100001011101
Octal
414135
Hexadecimal
0x2185D
Base64
Ahhd
One's complement
4,294,829,986 (32-bit)
Scientific notation
1.37309 × 10⁵
As a duration
137,309 s = 1 day, 14 hours, 8 minutes, 29 seconds
In other bases
ternary (3) 20222100112
quaternary (4) 201201131
quinary (5) 13343214
senary (6) 2535405
septenary (7) 1111214
nonary (9) 228315
undecimal (11) 94187
duodecimal (12) 67565
tridecimal (13) 4a663
tetradecimal (14) 3807b
pentadecimal (15) 2aa3e

As an angle

137,309° = 381 × 360° + 149°
149° ≈ 2.601 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτθʹ
Mayan (base 20)
𝋱·𝋣·𝋥·𝋩
Chinese
一十三萬七千三百零九
Chinese (financial)
壹拾參萬柒仟參佰零玖
In other modern scripts
Eastern Arabic ١٣٧٣٠٩ Devanagari १३७३०९ Bengali ১৩৭৩০৯ Tamil ௧௩௭௩௦௯ Thai ๑๓๗๓๐๙ Tibetan ༡༣༧༣༠༩ Khmer ១៣៧៣០៩ Lao ໑໓໗໓໐໙ Burmese ၁၃၇၃၀၉

Also seen as

Unicode codepoint
𡡝
CJK Unified Ideograph-2185D
U+2185D
Other letter (Lo)

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

Hex color
#02185D
RGB(2, 24, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.93.

Address
0.2.24.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.93

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 137,309 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 137309 first appears in π at position 176,435 of the decimal expansion (the 176,435ordinal-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

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