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137,339

137,339 is a prime, 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.).

137,339 (one hundred thirty-seven thousand three hundred thirty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2187B.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Safe Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,701
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
933,731
Recamán's sequence
a(37,482) = 137,339
Square (n²)
18,862,000,921
Cube (n³)
2,590,488,344,489,219
Divisor count
2
σ(n) — sum of divisors
137,340
φ(n) — Euler's totient
137,338

Primality

137,339 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137339
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,339)
1 × 137339
First multiples
137,339 · 274,678 (double) · 412,017 · 549,356 · 686,695 · 824,034 · 961,373 · 1,098,712 · 1,236,051 · 1,373,390

Sums & aliquot sequence

As consecutive integers: 68,669 + 68,670

Continued fraction of √n

√137,339 = [370; (1, 1, 2, 5, 7, 1, 1, 1, 1, 1, 1, 3, 1, 2, 73, 1, 3, 6, 2, 19, 23, 1, 6, 29, …)]

Representations

In words
one hundred thirty-seven thousand three hundred thirty-nine
Ordinal
137339th
Binary
100001100001111011
Octal
414173
Hexadecimal
0x2187B
Base64
Ahh7
One's complement
4,294,829,956 (32-bit)
Scientific notation
1.37339 × 10⁵
As a duration
137,339 s = 1 day, 14 hours, 8 minutes, 59 seconds
In other bases
ternary (3) 20222101122
quaternary (4) 201201323
quinary (5) 13343324
senary (6) 2535455
septenary (7) 1111256
nonary (9) 228348
undecimal (11) 94204
duodecimal (12) 6758b
tridecimal (13) 4a687
tetradecimal (14) 3809d
pentadecimal (15) 2aa5e

As an angle

137,339° = 381 × 360° + 179°
179° ≈ 3.124 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτλθʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋳
Chinese
一十三萬七千三百三十九
Chinese (financial)
壹拾參萬柒仟參佰參拾玖
In other modern scripts
Eastern Arabic ١٣٧٣٣٩ Devanagari १३७३३९ Bengali ১৩৭৩৩৯ Tamil ௧௩௭௩௩௯ Thai ๑๓๗๓๓๙ Tibetan ༡༣༧༣༣༩ Khmer ១៣៧៣៣៩ Lao ໑໓໗໓໓໙ Burmese ၁၃၇၃၃၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 137341.

Unicode codepoint
𡡻
CJK Unified Ideograph-2187B
U+2187B
Other letter (Lo)

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

Hex color
#02187B
RGB(2, 24, 123)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.123.

Address
0.2.24.123
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.123

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 137,339 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 137339 first appears in π at position 836,679 of the decimal expansion (the 836,679ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.