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117,133

117,133 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.).

117,133 (one hundred seventeen thousand one hundred thirty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1C98D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
63
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
331,711
Square (n²)
13,720,139,689
Cube (n³)
1,607,081,122,191,637
Divisor count
2
σ(n) — sum of divisors
117,134
φ(n) — Euler's totient
117,132

Primality

117,133 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117133
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,133)
1 × 117133
First multiples
117,133 · 234,266 (double) · 351,399 · 468,532 · 585,665 · 702,798 · 819,931 · 937,064 · 1,054,197 · 1,171,330

Sums & aliquot sequence

As a sum of two squares: 13² + 342²
As consecutive integers: 58,566 + 58,567

Continued fraction of √n

√117,133 = [342; (4, 20, 2, 32, 9, 2, 1, 8, 4, 1, 2, 1, 5, 8, 1, 4, 1, 23, 1, 1, 1, 1, 1, 1, …)]

Representations

In words
one hundred seventeen thousand one hundred thirty-three
Ordinal
117133rd
Binary
11100100110001101
Octal
344615
Hexadecimal
0x1C98D
Base64
AcmN
One's complement
4,294,850,162 (32-bit)
Scientific notation
1.17133 × 10⁵
As a duration
117,133 s = 1 day, 8 hours, 32 minutes, 13 seconds
In other bases
ternary (3) 12221200021
quaternary (4) 130212031
quinary (5) 12222013
senary (6) 2302141
septenary (7) 665332
nonary (9) 187607
undecimal (11) 80005
duodecimal (12) 57951
tridecimal (13) 41413
tetradecimal (14) 30989
pentadecimal (15) 24a8d
Palindromic in base 4

As an angle

117,133° = 325 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ριζρλγʹ
Mayan (base 20)
𝋮·𝋬·𝋰·𝋭
Chinese
一十一萬七千一百三十三
Chinese (financial)
壹拾壹萬柒仟壹佰參拾參
In other modern scripts
Eastern Arabic ١١٧١٣٣ Devanagari ११७१३३ Bengali ১১৭১৩৩ Tamil ௧௧௭௧௩௩ Thai ๑๑๗๑๓๓ Tibetan ༡༡༧༡༣༣ Khmer ១១៧១៣៣ Lao ໑໑໗໑໓໓ Burmese ၁၁၇၁၃၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 117127.

Hex color
#01C98D
RGB(1, 201, 141)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.141.

Address
0.1.201.141
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.141

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 117,133 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 117133 first appears in π at position 664,974 of the decimal expansion (the 664,974ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.