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117,977

117,977 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.).

117,977 (one hundred seventeen thousand nine hundred seventy-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CCD9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
3,087
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
779,711
Square (n²)
13,918,572,529
Cube (n³)
1,642,071,431,253,833
Divisor count
2
σ(n) — sum of divisors
117,978
φ(n) — Euler's totient
117,976

Primality

117,977 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117977
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,977)
1 × 117977
First multiples
117,977 · 235,954 (double) · 353,931 · 471,908 · 589,885 · 707,862 · 825,839 · 943,816 · 1,061,793 · 1,179,770

Sums & aliquot sequence

As a sum of two squares: 229² + 256²
As consecutive integers: 58,988 + 58,989

Continued fraction of √n

√117,977 = [343; (2, 10, 1, 3, 4, 1, 85, 16, 1, 2, 1, 8, 1, 1, 1, 42, 3, 1, 1, 2, 1, 10, 1, 12, …)]

Representations

In words
one hundred seventeen thousand nine hundred seventy-seven
Ordinal
117977th
Binary
11100110011011001
Octal
346331
Hexadecimal
0x1CCD9
Base64
AczZ
One's complement
4,294,849,318 (32-bit)
Scientific notation
1.17977 × 10⁵
As a duration
117,977 s = 1 day, 8 hours, 46 minutes, 17 seconds
In other bases
ternary (3) 12222211112
quaternary (4) 130303121
quinary (5) 12233402
senary (6) 2310105
septenary (7) 1000646
nonary (9) 188745
undecimal (11) 80702
duodecimal (12) 58335
tridecimal (13) 41912
tetradecimal (14) 30dcd
pentadecimal (15) 24e52

As an angle

117,977° = 327 × 360° + 257°
257° ≈ 4.485 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζϡοζʹ
Mayan (base 20)
𝋮·𝋮·𝋲·𝋱
Chinese
一十一萬七千九百七十七
Chinese (financial)
壹拾壹萬柒仟玖佰柒拾柒
In other modern scripts
Eastern Arabic ١١٧٩٧٧ Devanagari ११७९७७ Bengali ১১৭৯৭৭ Tamil ௧௧௭௯௭௭ Thai ๑๑๗๙๗๗ Tibetan ༡༡༧༩༧༧ Khmer ១១៧៩៧៧ Lao ໑໑໗໙໗໗ Burmese ၁၁၇၉၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 117979, cousin with 117973.

Unicode codepoint
𜳙
Outlined Latin Capital Letter D
U+1CCD9
Other symbol (So)

UTF-8 encoding: F0 9C B3 99 (4 bytes).

Hex color
#01CCD9
RGB(1, 204, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.217.

Address
0.1.204.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.217

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 117,977 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 117977 first appears in π at position 401,490 of the decimal expansion (the 401,490ordinal-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.