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116,167

116,167 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.).

116,167 (one hundred sixteen thousand one hundred sixty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C5C7.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
22
Digit product
252
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
761,611
Square (n²)
13,494,771,889
Cube (n³)
1,567,647,166,029,463
Divisor count
2
σ(n) — sum of divisors
116,168
φ(n) — Euler's totient
116,166

Primality

116,167 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 116167
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 116,167)
1 × 116167
First multiples
116,167 · 232,334 (double) · 348,501 · 464,668 · 580,835 · 697,002 · 813,169 · 929,336 · 1,045,503 · 1,161,670

Sums & aliquot sequence

As consecutive integers: 58,083 + 58,084

Continued fraction of √n

√116,167 = [340; (1, 4, 1, 51, 1, 1, 1, 1, 15, 3, 1, 31, 1, 2, 2, 2, 7, 2, 2, 1, 3, 4, 1, 5, …)]

Representations

In words
one hundred sixteen thousand one hundred sixty-seven
Ordinal
116167th
Binary
11100010111000111
Octal
342707
Hexadecimal
0x1C5C7
Base64
AcXH
One's complement
4,294,851,128 (32-bit)
Scientific notation
1.16167 × 10⁵
As a duration
116,167 s = 1 day, 8 hours, 16 minutes, 7 seconds
In other bases
ternary (3) 12220100111
quaternary (4) 130113013
quinary (5) 12204132
senary (6) 2253451
septenary (7) 662452
nonary (9) 186314
undecimal (11) 7a307
duodecimal (12) 57287
tridecimal (13) 40b4c
tetradecimal (14) 30499
pentadecimal (15) 24647

As an angle

116,167° = 322 × 360° + 247°
247° ≈ 4.311 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριϛρξζʹ
Mayan (base 20)
𝋮·𝋪·𝋨·𝋧
Chinese
一十一萬六千一百六十七
Chinese (financial)
壹拾壹萬陸仟壹佰陸拾柒
In other modern scripts
Eastern Arabic ١١٦١٦٧ Devanagari ११६१६७ Bengali ১১৬১৬৭ Tamil ௧௧௬௧௬௭ Thai ๑๑๖๑๖๗ Tibetan ༡༡༦༡༦༧ Khmer ១១៦១៦៧ Lao ໑໑໖໑໖໗ Burmese ၁၁၆၁၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01C5C7
RGB(1, 197, 199)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.199.

Address
0.1.197.199
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.197.199

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 116,167 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 116167 first appears in π at position 250,582 of the decimal expansion (the 250,582ordinal-suffix:nd 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.