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117,721

117,721 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.).

117,721 (one hundred seventeen thousand seven hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1CBD9.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
98
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
127,711
Square (n²)
13,858,233,841
Cube (n³)
1,631,405,145,996,361
Divisor count
2
σ(n) — sum of divisors
117,722
φ(n) — Euler's totient
117,720

Primality

117,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 117721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 117,721)
1 × 117721
First multiples
117,721 · 235,442 (double) · 353,163 · 470,884 · 588,605 · 706,326 · 824,047 · 941,768 · 1,059,489 · 1,177,210

Sums & aliquot sequence

As a sum of two squares: 136² + 315²
As consecutive integers: 58,860 + 58,861

Continued fraction of √n

√117,721 = [343; (9, 1, 1, 8, 19, 2, 21, 1, 1, 1, 5, 2, 6, 1, 2, 4, 1, 2, 1, 3, 5, 2, 4, 1, …)]

Representations

In words
one hundred seventeen thousand seven hundred twenty-one
Ordinal
117721st
Binary
11100101111011001
Octal
345731
Hexadecimal
0x1CBD9
Base64
AcvZ
One's complement
4,294,849,574 (32-bit)
Scientific notation
1.17721 × 10⁵
As a duration
117,721 s = 1 day, 8 hours, 42 minutes, 1 second
In other bases
ternary (3) 12222111001
quaternary (4) 130233121
quinary (5) 12231341
senary (6) 2305001
septenary (7) 1000132
nonary (9) 188431
undecimal (11) 8049a
duodecimal (12) 58161
tridecimal (13) 41776
tetradecimal (14) 30c89
pentadecimal (15) 24d31

As an angle

117,721° = 327 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ριζψκαʹ
Mayan (base 20)
𝋮·𝋮·𝋦·𝋡
Chinese
一十一萬七千七百二十一
Chinese (financial)
壹拾壹萬柒仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١١٧٧٢١ Devanagari ११७७२१ Bengali ১১৭৭২১ Tamil ௧௧௭௭௨௧ Thai ๑๑๗๗๒๑ Tibetan ༡༡༧༧༢༡ Khmer ១១៧៧២១ Lao ໑໑໗໗໒໑ Burmese ၁၁၇၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 117727.

Hex color
#01CBD9
RGB(1, 203, 217)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.217.

Address
0.1.203.217
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.217

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 117,721 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 117721 first appears in π at position 678,909 of the decimal expansion (the 678,909ordinal-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.