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115,513

115,513 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.).

115,513 (one hundred fifteen thousand five hundred thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C339.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
75
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
315,511
Recamán's sequence
a(72,433) = 115,513
Square (n²)
13,343,253,169
Cube (n³)
1,541,319,203,310,697
Divisor count
2
σ(n) — sum of divisors
115,514
φ(n) — Euler's totient
115,512

Primality

115,513 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115513
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,513)
1 × 115513
First multiples
115,513 · 231,026 (double) · 346,539 · 462,052 · 577,565 · 693,078 · 808,591 · 924,104 · 1,039,617 · 1,155,130

Sums & aliquot sequence

As a sum of two squares: 68² + 333²
As consecutive integers: 57,756 + 57,757

Continued fraction of √n

√115,513 = [339; (1, 6, 1, 4, 2, 1, 1, 6, 2, 20, 1, 3, 2, 22, 1, 225, 1, 1, 1, 1, 1, 15, 5, 2, …)]

Representations

In words
one hundred fifteen thousand five hundred thirteen
Ordinal
115513th
Binary
11100001100111001
Octal
341471
Hexadecimal
0x1C339
Base64
AcM5
One's complement
4,294,851,782 (32-bit)
Scientific notation
1.15513 × 10⁵
As a duration
115,513 s = 1 day, 8 hours, 5 minutes, 13 seconds
In other bases
ternary (3) 12212110021
quaternary (4) 130030321
quinary (5) 12144023
senary (6) 2250441
septenary (7) 660526
nonary (9) 185407
undecimal (11) 79872
duodecimal (12) 56a21
tridecimal (13) 40768
tetradecimal (14) 3014d
pentadecimal (15) 2435d

As an angle

115,513° = 320 × 360° + 313°
313° ≈ 5.463 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριεφιγʹ
Mayan (base 20)
𝋮·𝋨·𝋯·𝋭
Chinese
一十一萬五千五百一十三
Chinese (financial)
壹拾壹萬伍仟伍佰壹拾參
In other modern scripts
Eastern Arabic ١١٥٥١٣ Devanagari ११५५१३ Bengali ১১৫৫১৩ Tamil ௧௧௫௫௧௩ Thai ๑๑๕๕๑๓ Tibetan ༡༡༥༥༡༣ Khmer ១១៥៥១៣ Lao ໑໑໕໕໑໓ Burmese ၁၁၅၅၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01C339
RGB(1, 195, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.195.57.

Address
0.1.195.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.195.57

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 115,513 and was likely granted around 1871.

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

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.