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115,301

115,301 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.).

115,301 (one hundred fifteen thousand three hundred one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C265.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
103,511
Recamán's sequence
a(72,009) = 115,301
Square (n²)
13,294,320,601
Cube (n³)
1,532,848,459,615,901
Divisor count
2
σ(n) — sum of divisors
115,302
φ(n) — Euler's totient
115,300

Primality

115,301 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115301
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,301)
1 × 115301
First multiples
115,301 · 230,602 (double) · 345,903 · 461,204 · 576,505 · 691,806 · 807,107 · 922,408 · 1,037,709 · 1,153,010

Sums & aliquot sequence

As a sum of two squares: 95² + 326²
As consecutive integers: 57,650 + 57,651

Continued fraction of √n

√115,301 = [339; (1, 1, 3, 1, 1, 1, 169, 7, 7, 169, 1, 1, 1, 3, 1, 1, 678)]

Period length 17 — the block in parentheses repeats forever.

Representations

In words
one hundred fifteen thousand three hundred one
Ordinal
115301st
Binary
11100001001100101
Octal
341145
Hexadecimal
0x1C265
Base64
AcJl
One's complement
4,294,851,994 (32-bit)
Scientific notation
1.15301 × 10⁵
As a duration
115,301 s = 1 day, 8 hours, 1 minute, 41 seconds
In other bases
ternary (3) 12212011102
quaternary (4) 130021211
quinary (5) 12142201
senary (6) 2245445
septenary (7) 660104
nonary (9) 185142
undecimal (11) 7969a
duodecimal (12) 56885
tridecimal (13) 40634
tetradecimal (14) 3003b
pentadecimal (15) 2426b

As an angle

115,301° = 320 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓏺
Greek (Milesian)
͵ριεταʹ
Mayan (base 20)
𝋮·𝋨·𝋥·𝋡
Chinese
一十一萬五千三百零一
Chinese (financial)
壹拾壹萬伍仟參佰零壹
In other modern scripts
Eastern Arabic ١١٥٣٠١ Devanagari ११५३०१ Bengali ১১৫৩০১ Tamil ௧௧௫௩௦௧ Thai ๑๑๕๓๐๑ Tibetan ༡༡༥༣༠༡ Khmer ១១៥៣០១ Lao ໑໑໕໓໐໑ Burmese ၁၁၅၃၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 115303.

Hex color
#01C265
RGB(1, 194, 101)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.194.101.

Address
0.1.194.101
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.194.101

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 115,301 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 115301 first appears in π at position 465,987 of the decimal expansion (the 465,987ordinal-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.