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107,137

107,137 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.).

107,137 (one hundred seven thousand one hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A281.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
731,701
Recamán's sequence
a(82,329) = 107,137
Square (n²)
11,478,336,769
Cube (n³)
1,229,754,566,420,353
Divisor count
2
σ(n) — sum of divisors
107,138
φ(n) — Euler's totient
107,136

Primality

107,137 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 107137
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107,137)
1 × 107137
First multiples
107,137 · 214,274 (double) · 321,411 · 428,548 · 535,685 · 642,822 · 749,959 · 857,096 · 964,233 · 1,071,370

Sums & aliquot sequence

As a sum of two squares: 64² + 321²
As consecutive integers: 53,568 + 53,569

Continued fraction of √n

√107,137 = [327; (3, 6, 1, 6, 5, 1, 2, 3, 13, 2, 1, 16, 9, 31, 15, 1, 14, 3, 2, 26, 1, 5, 1, 1, …)]

Representations

In words
one hundred seven thousand one hundred thirty-seven
Ordinal
107137th
Binary
11010001010000001
Octal
321201
Hexadecimal
0x1A281
Base64
AaKB
One's complement
4,294,860,158 (32-bit)
Scientific notation
1.07137 × 10⁵
As a duration
107,137 s = 1 day, 5 hours, 45 minutes, 37 seconds
In other bases
ternary (3) 12102222001
quaternary (4) 122022001
quinary (5) 11412022
senary (6) 2144001
septenary (7) 624232
nonary (9) 172861
undecimal (11) 73548
duodecimal (12) 52001
tridecimal (13) 399c4
tetradecimal (14) 2b089
pentadecimal (15) 21b27

As an angle

107,137° = 297 × 360° + 217°
217° ≈ 3.787 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζρλζʹ
Mayan (base 20)
𝋭·𝋧·𝋰·𝋱
Chinese
十萬七千一百三十七
Chinese (financial)
壹拾萬柒仟壹佰參拾柒
In other modern scripts
Eastern Arabic ١٠٧١٣٧ Devanagari १०७१३७ Bengali ১০৭১৩৭ Tamil ௧௦௭௧௩௭ Thai ๑๐๗๑๓๗ Tibetan ༡༠༧༡༣༧ Khmer ១០៧១៣៧ Lao ໑໐໗໑໓໗ Burmese ၁၀၇၁၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01A281
RGB(1, 162, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.129.

Address
0.1.162.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.129

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 107,137 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 107137 first appears in π at position 275,611 of the decimal expansion (the 275,611ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.