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117,329

117,329 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.).

117,329 (one hundred seventeen thousand three hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CA51.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
923,711
Square (n²)
13,766,094,241
Cube (n³)
1,615,162,071,202,289
Divisor count
2
σ(n) — sum of divisors
117,330
φ(n) — Euler's totient
117,328

Primality

117,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,329)
1 × 117329
First multiples
117,329 · 234,658 (double) · 351,987 · 469,316 · 586,645 · 703,974 · 821,303 · 938,632 · 1,055,961 · 1,173,290

Sums & aliquot sequence

As a sum of two squares: 223² + 260²
As consecutive integers: 58,664 + 58,665

Continued fraction of √n

√117,329 = [342; (1, 1, 7, 35, 1, 11, 1, 20, 2, 16, 1, 1, 1, 3, 3, 1, 13, 4, 1, 1, 1, 6, 1, 7, …)]

Representations

In words
one hundred seventeen thousand three hundred twenty-nine
Ordinal
117329th
Binary
11100101001010001
Octal
345121
Hexadecimal
0x1CA51
Base64
AcpR
One's complement
4,294,849,966 (32-bit)
Scientific notation
1.17329 × 10⁵
As a duration
117,329 s = 1 day, 8 hours, 35 minutes, 29 seconds
In other bases
ternary (3) 12221221112
quaternary (4) 130221101
quinary (5) 12223304
senary (6) 2303105
septenary (7) 666032
nonary (9) 187845
undecimal (11) 80173
duodecimal (12) 57a95
tridecimal (13) 41534
tetradecimal (14) 30a89
pentadecimal (15) 24b6e

As an angle

117,329° = 325 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζτκθʹ
Mayan (base 20)
𝋮·𝋭·𝋦·𝋩
Chinese
一十一萬七千三百二十九
Chinese (financial)
壹拾壹萬柒仟參佰貳拾玖
In other modern scripts
Eastern Arabic ١١٧٣٢٩ Devanagari ११७३२९ Bengali ১১৭৩২৯ Tamil ௧௧௭௩௨௯ Thai ๑๑๗๓๒๙ Tibetan ༡༡༧༣༢༩ Khmer ១១៧៣២៩ Lao ໑໑໗໓໒໙ Burmese ၁၁၇၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 117331.

Hex color
#01CA51
RGB(1, 202, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.81.

Address
0.1.202.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.81

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 117,329 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 117329 first appears in π at position 747,647 of the decimal expansion (the 747,647ordinal-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.