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115,321

115,321 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.).

115,321 (one hundred fifteen thousand three hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C279.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
30
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
123,511
Recamán's sequence
a(72,049) = 115,321
Square (n²)
13,298,933,041
Cube (n³)
1,533,646,257,221,161
Divisor count
2
σ(n) — sum of divisors
115,322
φ(n) — Euler's totient
115,320

Primality

115,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,321)
1 × 115321
First multiples
115,321 · 230,642 (double) · 345,963 · 461,284 · 576,605 · 691,926 · 807,247 · 922,568 · 1,037,889 · 1,153,210

Sums & aliquot sequence

As a sum of two squares: 20² + 339²
As consecutive integers: 57,660 + 57,661

Continued fraction of √n

√115,321 = [339; (1, 1, 2, 3, 2, 1, 1, 6, 2, 16, 1, 1, 16, 2, 6, 1, 1, 2, 3, 2, 1, 1, 678)]

Period length 23 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand three hundred twenty-one
Ordinal
115321st
Binary
11100001001111001
Octal
341171
Hexadecimal
0x1C279
Base64
AcJ5
One's complement
4,294,851,974 (32-bit)
Scientific notation
1.15321 × 10⁵
As a duration
115,321 s = 1 day, 8 hours, 2 minutes, 1 second
In other bases
ternary (3) 12212012011
quaternary (4) 130021321
quinary (5) 12142241
senary (6) 2245521
septenary (7) 660133
nonary (9) 185164
undecimal (11) 79708
duodecimal (12) 568a1
tridecimal (13) 4064b
tetradecimal (14) 30053
pentadecimal (15) 24281

As an angle

115,321° = 320 × 360° + 121°
121° ≈ 2.112 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ριετκαʹ
Mayan (base 20)
𝋮·𝋨·𝋦·𝋡
Chinese
一十一萬五千三百二十一
Chinese (financial)
壹拾壹萬伍仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١١٥٣٢١ Devanagari ११५३२१ Bengali ১১৫৩২১ Tamil ௧௧௫௩௨௧ Thai ๑๑๕๓๒๑ Tibetan ༡༡༥༣༢༡ Khmer ១១៥៣២១ Lao ໑໑໕໓໒໑ Burmese ၁၁၅၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 115319, sexy with 115327.

Hex color
#01C279
RGB(1, 194, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.194.121.

Address
0.1.194.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.194.121

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 115,321 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 115321 first appears in π at position 172,766 of the decimal expansion (the 172,766ordinal-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.