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117,731

117,731 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.).

117,731 (one hundred seventeen thousand seven 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, 0x1CBE3.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
147
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
137,711
Square (n²)
13,860,588,361
Cube (n³)
1,631,820,928,328,891
Divisor count
2
σ(n) — sum of divisors
117,732
φ(n) — Euler's totient
117,730

Primality

117,731 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117731
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,731)
1 × 117731
First multiples
117,731 · 235,462 (double) · 353,193 · 470,924 · 588,655 · 706,386 · 824,117 · 941,848 · 1,059,579 · 1,177,310

Sums & aliquot sequence

As consecutive integers: 58,865 + 58,866

Continued fraction of √n

√117,731 = [343; (8, 2, 1, 2, 1, 1, 1, 1, 11, 52, 1, 2, 2, 1, 5, 1, 25, 1, 1, 5, 3, 3, 1, 2, …)]

Period length 54 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand seven hundred thirty-one
Ordinal
117731st
Binary
11100101111100011
Octal
345743
Hexadecimal
0x1CBE3
Base64
Acvj
One's complement
4,294,849,564 (32-bit)
Scientific notation
1.17731 × 10⁵
As a duration
117,731 s = 1 day, 8 hours, 42 minutes, 11 seconds
In other bases
ternary (3) 12222111102
quaternary (4) 130233203
quinary (5) 12231411
senary (6) 2305015
septenary (7) 1000145
nonary (9) 188442
undecimal (11) 804a9
duodecimal (12) 5816b
tridecimal (13) 41783
tetradecimal (14) 30c95
pentadecimal (15) 24d3b

As an angle

117,731° = 327 × 360° + 11°
11° ≈ 0.192 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριζψλαʹ
Mayan (base 20)
𝋮·𝋮·𝋦·𝋫
Chinese
一十一萬七千七百三十一
Chinese (financial)
壹拾壹萬柒仟柒佰參拾壹
In other modern scripts
Eastern Arabic ١١٧٧٣١ Devanagari ११७७३१ Bengali ১১৭৭৩১ Tamil ௧௧௭௭௩௧ Thai ๑๑๗๗๓๑ Tibetan ༡༡༧༧༣༡ Khmer ១១៧៧៣១ Lao ໑໑໗໗໓໑ Burmese ၁၁၇၇၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 117727.

Hex color
#01CBE3
RGB(1, 203, 227)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.227.

Address
0.1.203.227
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.227

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 117,731 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 117731 first appears in π at position 475,264 of the decimal expansion (the 475,264ordinal-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.