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115,001

115,001 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.).

115,001 (one hundred fifteen thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C139.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Pythagorean Prime Recamán's Sequence Self Number Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
100,511
Recamán's sequence
a(71,409) = 115,001
Square (n²)
13,225,230,001
Cube (n³)
1,520,914,675,345,001
Divisor count
2
σ(n) — sum of divisors
115,002
φ(n) — Euler's totient
115,000

Primality

115,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 115001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 115,001)
1 × 115001
First multiples
115,001 · 230,002 (double) · 345,003 · 460,004 · 575,005 · 690,006 · 805,007 · 920,008 · 1,035,009 · 1,150,010

Sums & aliquot sequence

As a sum of two squares: 160² + 299²
As consecutive integers: 57,500 + 57,501

Continued fraction of √n

√115,001 = [339; (8, 2, 10, 7, 1, 7, 1, 1, 1, 1, 26, 1, 1, 9, 1, 1, 1, 1, 2, 3, 7, 1, 2, 6, …)]

Representations

In words
one hundred fifteen thousand one
Ordinal
115001st
Binary
11100000100111001
Octal
340471
Hexadecimal
0x1C139
Base64
AcE5
One's complement
4,294,852,294 (32-bit)
Scientific notation
1.15001 × 10⁵
As a duration
115,001 s = 1 day, 7 hours, 56 minutes, 41 seconds
In other bases
ternary (3) 12211202022
quaternary (4) 130010321
quinary (5) 12140001
senary (6) 2244225
septenary (7) 656165
nonary (9) 184668
undecimal (11) 79447
duodecimal (12) 56675
tridecimal (13) 40463
tetradecimal (14) 2dca5
pentadecimal (15) 2411b

As an angle

115,001° = 319 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ριεαʹ
Mayan (base 20)
𝋮·𝋧·𝋪·𝋡
Chinese
一十一萬五千零一
Chinese (financial)
壹拾壹萬伍仟零壹
In other modern scripts
Eastern Arabic ١١٥٠٠١ Devanagari ११५००१ Bengali ১১৫০০১ Tamil ௧௧௫௦௦௧ Thai ๑๑๕๐๐๑ Tibetan ༡༡༥༠༠༡ Khmer ១១៥០០១ Lao ໑໑໕໐໐໑ Burmese ၁၁၅၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 114997.

Hex color
#01C139
RGB(1, 193, 57)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.57.

Address
0.1.193.57
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.193.57

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 115,001 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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.