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117,331

117,331 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.).

117,331 (one hundred seventeen thousand three hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CA53.

Arithmetic Number Cube-Free Deficient Number Emirp Happy Number Odious Number Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
63
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
133,711
Square (n²)
13,766,563,561
Cube (n³)
1,615,244,669,175,691
Divisor count
2
σ(n) — sum of divisors
117,332
φ(n) — Euler's totient
117,330

Primality

117,331 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117331
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,331)
1 × 117331
First multiples
117,331 · 234,662 (double) · 351,993 · 469,324 · 586,655 · 703,986 · 821,317 · 938,648 · 1,055,979 · 1,173,310

Sums & aliquot sequence

As consecutive integers: 58,665 + 58,666

Continued fraction of √n

√117,331 = [342; (1, 1, 6, 2, 2, 1, 1, 1, 1, 4, 1, 1, 6, 9, 1, 3, 2, 6, 12, 3, 3, 14, 1, 11, …)]

Representations

In words
one hundred seventeen thousand three hundred thirty-one
Ordinal
117331st
Binary
11100101001010011
Octal
345123
Hexadecimal
0x1CA53
Base64
AcpT
One's complement
4,294,849,964 (32-bit)
Scientific notation
1.17331 × 10⁵
As a duration
117,331 s = 1 day, 8 hours, 35 minutes, 31 seconds
In other bases
ternary (3) 12221221121
quaternary (4) 130221103
quinary (5) 12223311
senary (6) 2303111
septenary (7) 666034
nonary (9) 187847
undecimal (11) 80175
duodecimal (12) 57a97
tridecimal (13) 41536
tetradecimal (14) 30a8b
pentadecimal (15) 24b71

As an angle

117,331° = 325 × 360° + 331°
331° ≈ 5.777 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριζτλαʹ
Mayan (base 20)
𝋮·𝋭·𝋦·𝋫
Chinese
一十一萬七千三百三十一
Chinese (financial)
壹拾壹萬柒仟參佰參拾壹
In other modern scripts
Eastern Arabic ١١٧٣٣١ Devanagari ११७३३१ Bengali ১১৭৩৩১ Tamil ௧௧௭௩௩௧ Thai ๑๑๗๓๓๑ Tibetan ༡༡༧༣༣༡ Khmer ១១៧៣៣១ Lao ໑໑໗໓໓໑ Burmese ၁၁၇၃၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 117329.

Hex color
#01CA53
RGB(1, 202, 83)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.83.

Address
0.1.202.83
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.83

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 117,331 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 117331 first appears in π at position 58,450 of the decimal expansion (the 58,450ordinal-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.