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117,361

117,361 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.).

117,361 (one hundred seventeen thousand three hundred sixty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CA71.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
126
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
163,711
Square (n²)
13,773,604,321
Cube (n³)
1,616,483,976,716,881
Divisor count
2
σ(n) — sum of divisors
117,362
φ(n) — Euler's totient
117,360

Primality

117,361 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117361
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,361)
1 × 117361
First multiples
117,361 · 234,722 (double) · 352,083 · 469,444 · 586,805 · 704,166 · 821,527 · 938,888 · 1,056,249 · 1,173,610

Sums & aliquot sequence

As a sum of two squares: 156² + 305²
As consecutive integers: 58,680 + 58,681

Continued fraction of √n

√117,361 = [342; (1, 1, 2, 1, 1, 1, 2, 4, 2, 11, 1, 1, 2, 1, 136, 3, 6, 14, 8, 1, 1, 1, 1, 16, …)]

Representations

In words
one hundred seventeen thousand three hundred sixty-one
Ordinal
117361st
Binary
11100101001110001
Octal
345161
Hexadecimal
0x1CA71
Base64
Acpx
One's complement
4,294,849,934 (32-bit)
Scientific notation
1.17361 × 10⁵
As a duration
117,361 s = 1 day, 8 hours, 36 minutes, 1 second
In other bases
ternary (3) 12221222201
quaternary (4) 130221301
quinary (5) 12223421
senary (6) 2303201
septenary (7) 666106
nonary (9) 187881
undecimal (11) 801a2
duodecimal (12) 57b01
tridecimal (13) 4155a
tetradecimal (14) 30aad
pentadecimal (15) 24b91

As an angle

117,361° = 326 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ριζτξαʹ
Mayan (base 20)
𝋮·𝋭·𝋨·𝋡
Chinese
一十一萬七千三百六十一
Chinese (financial)
壹拾壹萬柒仟參佰陸拾壹
In other modern scripts
Eastern Arabic ١١٧٣٦١ Devanagari ११७३६१ Bengali ১১৭৩৬১ Tamil ௧௧௭௩௬௧ Thai ๑๑๗๓๖๑ Tibetan ༡༡༧༣༦༡ Khmer ១១៧៣៦១ Lao ໑໑໗໓໖໑ Burmese ၁၁၇၃၆၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01CA71
RGB(1, 202, 113)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.113.

Address
0.1.202.113
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.113

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 117,361 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 117361 first appears in π at position 797,923 of the decimal expansion (the 797,923ordinal-suffix:rd 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.