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115,337

115,337 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.).

115,337 (one hundred fifteen thousand three 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, 0x1C289.

Arithmetic Number Balanced Prime Chen Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
315
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
733,511
Recamán's sequence
a(72,081) = 115,337
Square (n²)
13,302,623,569
Cube (n³)
1,534,284,694,577,753
Divisor count
2
σ(n) — sum of divisors
115,338
φ(n) — Euler's totient
115,336

Primality

115,337 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115337
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,337)
1 × 115337
First multiples
115,337 · 230,674 (double) · 346,011 · 461,348 · 576,685 · 692,022 · 807,359 · 922,696 · 1,038,033 · 1,153,370

Sums & aliquot sequence

As a sum of two squares: 76² + 331²
As consecutive integers: 57,668 + 57,669

Continued fraction of √n

√115,337 = [339; (1, 1, 1, 1, 2, 2, 8, 1, 7, 1, 2, 2, 1, 1, 1, 4, 1, 2, 10, 1, 3, 1, 1, 3, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand three hundred thirty-seven
Ordinal
115337th
Binary
11100001010001001
Octal
341211
Hexadecimal
0x1C289
Base64
AcKJ
One's complement
4,294,851,958 (32-bit)
Scientific notation
1.15337 × 10⁵
As a duration
115,337 s = 1 day, 8 hours, 2 minutes, 17 seconds
In other bases
ternary (3) 12212012202
quaternary (4) 130022021
quinary (5) 12142322
senary (6) 2245545
septenary (7) 660155
nonary (9) 185182
undecimal (11) 79722
duodecimal (12) 568b5
tridecimal (13) 40661
tetradecimal (14) 30065
pentadecimal (15) 24292

As an angle

115,337° = 320 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριετλζʹ
Mayan (base 20)
𝋮·𝋨·𝋦·𝋱
Chinese
一十一萬五千三百三十七
Chinese (financial)
壹拾壹萬伍仟參佰參拾柒
In other modern scripts
Eastern Arabic ١١٥٣٣٧ Devanagari ११५३३७ Bengali ১১৫৩৩৭ Tamil ௧௧௫௩௩௭ Thai ๑๑๕๓๓๗ Tibetan ༡༡༥༣༣༧ Khmer ១១៥៣៣៧ Lao ໑໑໕໓໓໗ Burmese ၁၁၅၃၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 115331, sexy with 115343.

Hex color
#01C289
RGB(1, 194, 137)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.194.137.

Address
0.1.194.137
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.194.137

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 115,337 and was likely granted around 1871.

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

Position in π

The digit sequence 115337 first appears in π at position 44,969 of the decimal expansion (the 44,969ordinal-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.