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117,167

117,167 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.).

117,167 (one hundred seventeen 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, 0x1C9AF.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
294
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
761,711
Square (n²)
13,728,105,889
Cube (n³)
1,608,480,982,696,463
Divisor count
2
σ(n) — sum of divisors
117,168
φ(n) — Euler's totient
117,166

Primality

117,167 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117167
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,167)
1 × 117167
First multiples
117,167 · 234,334 (double) · 351,501 · 468,668 · 585,835 · 703,002 · 820,169 · 937,336 · 1,054,503 · 1,171,670

Sums & aliquot sequence

As consecutive integers: 58,583 + 58,584

Continued fraction of √n

√117,167 = [342; (3, 2, 1, 2, 3, 2, 4, 1, 21, 3, 1, 2, 1, 3, 1, 6, 5, 12, 1, 2, 1, 1, 1, 1, …)]

Representations

In words
one hundred seventeen thousand one hundred sixty-seven
Ordinal
117167th
Binary
11100100110101111
Octal
344657
Hexadecimal
0x1C9AF
Base64
Acmv
One's complement
4,294,850,128 (32-bit)
Scientific notation
1.17167 × 10⁵
As a duration
117,167 s = 1 day, 8 hours, 32 minutes, 47 seconds
In other bases
ternary (3) 12221201112
quaternary (4) 130212233
quinary (5) 12222132
senary (6) 2302235
septenary (7) 665411
nonary (9) 187645
undecimal (11) 80036
duodecimal (12) 5797b
tridecimal (13) 4143b
tetradecimal (14) 309b1
pentadecimal (15) 24ab2

As an angle

117,167° = 325 × 360° + 167°
167° ≈ 2.915 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζρξζʹ
Mayan (base 20)
𝋮·𝋬·𝋲·𝋧
Chinese
一十一萬七千一百六十七
Chinese (financial)
壹拾壹萬柒仟壹佰陸拾柒
In other modern scripts
Eastern Arabic ١١٧١٦٧ Devanagari ११७१६७ Bengali ১১৭১৬৭ Tamil ௧௧௭௧௬௭ Thai ๑๑๗๑๖๗ Tibetan ༡༡༧༡༦༧ Khmer ១១៧១៦៧ Lao ໑໑໗໑໖໗ Burmese ၁၁၇၁၆၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 117163.

Hex color
#01C9AF
RGB(1, 201, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.175.

Address
0.1.201.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.175

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 117,167 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.