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117,991

117,991 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.).

117,991 (one hundred seventeen thousand nine hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CCE7.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
567
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
199,711
Square (n²)
13,921,876,081
Cube (n³)
1,642,656,080,673,271
Divisor count
2
σ(n) — sum of divisors
117,992
φ(n) — Euler's totient
117,990

Primality

117,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,991)
1 × 117991
First multiples
117,991 · 235,982 (double) · 353,973 · 471,964 · 589,955 · 707,946 · 825,937 · 943,928 · 1,061,919 · 1,179,910

Sums & aliquot sequence

As consecutive integers: 58,995 + 58,996

Continued fraction of √n

√117,991 = [343; (2, 136, 1, 8, 1, 26, 1, 1, 2, 1, 1, 1, 2, 5, 8, 1, 1, 1, 1, 1, 4, 4, 1, 1, …)]

Representations

In words
one hundred seventeen thousand nine hundred ninety-one
Ordinal
117991st
Binary
11100110011100111
Octal
346347
Hexadecimal
0x1CCE7
Base64
Aczn
One's complement
4,294,849,304 (32-bit)
Scientific notation
1.17991 × 10⁵
As a duration
117,991 s = 1 day, 8 hours, 46 minutes, 31 seconds
In other bases
ternary (3) 12222212001
quaternary (4) 130303213
quinary (5) 12233431
senary (6) 2310131
septenary (7) 1000666
nonary (9) 188761
undecimal (11) 80715
duodecimal (12) 58347
tridecimal (13) 41923
tetradecimal (14) 30ddd
pentadecimal (15) 24e61

As an angle

117,991° = 327 × 360° + 271°
271° ≈ 4.73 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριζϡϟαʹ
Mayan (base 20)
𝋮·𝋮·𝋳·𝋫
Chinese
一十一萬七千九百九十一
Chinese (financial)
壹拾壹萬柒仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١١٧٩٩١ Devanagari ११७९९१ Bengali ১১৭৯৯১ Tamil ௧௧௭௯௯௧ Thai ๑๑๗๙๙๑ Tibetan ༡༡༧༩༩༡ Khmer ១១៧៩៩១ Lao ໑໑໗໙໙໑ Burmese ၁၁၇၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 117989.

Unicode codepoint
𜳧
Outlined Latin Capital Letter R
U+1CCE7
Other symbol (So)

UTF-8 encoding: F0 9C B3 A7 (4 bytes).

Hex color
#01CCE7
RGB(1, 204, 231)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.231.

Address
0.1.204.231
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.231

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 117,991 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 117991 first appears in π at position 73,927 of the decimal expansion (the 73,927ordinal-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.