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117,617

117,617 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.).

117,617 (one hundred seventeen thousand six hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CB71.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
294
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
716,711
Square (n²)
13,833,758,689
Cube (n³)
1,627,085,195,724,113
Divisor count
2
σ(n) — sum of divisors
117,618
φ(n) — Euler's totient
117,616

Primality

117,617 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117617
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,617)
1 × 117617
First multiples
117,617 · 235,234 (double) · 352,851 · 470,468 · 588,085 · 705,702 · 823,319 · 940,936 · 1,058,553 · 1,176,170

Sums & aliquot sequence

As a sum of two squares: 241² + 244²
As consecutive integers: 58,808 + 58,809

Continued fraction of √n

√117,617 = [342; (1, 20, 2, 3, 2, 2, 4, 7, 1, 1, 3, 5, 8, 2, 35, 1, 1, 1, 2, 3, 2, 2, 2, 2, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand six hundred seventeen
Ordinal
117617th
Binary
11100101101110001
Octal
345561
Hexadecimal
0x1CB71
Base64
Actx
One's complement
4,294,849,678 (32-bit)
Scientific notation
1.17617 × 10⁵
As a duration
117,617 s = 1 day, 8 hours, 40 minutes, 17 seconds
In other bases
ternary (3) 12222100012
quaternary (4) 130231301
quinary (5) 12230432
senary (6) 2304305
septenary (7) 666623
nonary (9) 188305
undecimal (11) 80405
duodecimal (12) 58095
tridecimal (13) 416c6
tetradecimal (14) 30c13
pentadecimal (15) 24cb2

As an angle

117,617° = 326 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζχιζʹ
Mayan (base 20)
𝋮·𝋮·𝋠·𝋱
Chinese
一十一萬七千六百一十七
Chinese (financial)
壹拾壹萬柒仟陸佰壹拾柒
In other modern scripts
Eastern Arabic ١١٧٦١٧ Devanagari ११७६१७ Bengali ১১৭৬১৭ Tamil ௧௧௭௬௧௭ Thai ๑๑๗๖๑๗ Tibetan ༡༡༧༦༡༧ Khmer ១១៧៦១៧ Lao ໑໑໗໖໑໗ Burmese ၁၁၇၆၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 117619.

Hex color
#01CB71
RGB(1, 203, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.113.

Address
0.1.203.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.113

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 117,617 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 117617 first appears in π at position 96,290 of the decimal expansion (the 96,290ordinal-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.