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Number

83,117

83,117 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
168
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
71,138
Recamán's sequence
a(116,457) = 83,117
Square (n²)
6,908,435,689
Cube (n³)
574,208,449,162,613
Divisor count
2
σ(n) — sum of divisors
83,118
φ(n) — Euler's totient
83,116

Primality

83,117 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 83117
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 83,117)
1 × 83117
First multiples
83,117 · 166,234 (double) · 249,351 · 332,468 · 415,585 · 498,702 · 581,819 · 664,936 · 748,053 · 831,170

Sums & aliquot sequence

As a sum of two squares: 179² + 226²
As consecutive integers: 41,558 + 41,559

Representations

In words
eighty-three thousand one hundred seventeen
Ordinal
83117th
Binary
10100010010101101
Octal
242255
Hexadecimal
0x144AD
Base64
AUSt
One's complement
4,294,884,178 (32-bit)
In other bases
ternary (3) 11020000102
quaternary (4) 110102231
quinary (5) 10124432
senary (6) 1440445
septenary (7) 464216
nonary (9) 136012
undecimal (11) 574a1
duodecimal (12) 40125
tridecimal (13) 2baa8
tetradecimal (14) 2240d
pentadecimal (15) 19962

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵πγριζʹ
Mayan (base 20)
𝋪·𝋧·𝋯·𝋱
Chinese
八萬三千一百一十七
Chinese (financial)
捌萬參仟壹佰壹拾柒
In other modern scripts
Eastern Arabic ٨٣١١٧ Devanagari ८३११७ Bengali ৮৩১১৭ Tamil ௮௩௧௧௭ Thai ๘๓๑๑๗ Tibetan ༨༣༡༡༧ Khmer ៨៣១១៧ Lao ໘໓໑໑໗ Burmese ၈၃၁၁၇

Digit at this position in famous constants

π — Pi (π)
Digit 83,117 = 1
e — Euler's number (e)
Digit 83,117 = 4
φ — Golden ratio (φ)
Digit 83,117 = 1
√2 — Pythagoras's (√2)
Digit 83,117 = 6
ln 2 — Natural log of 2
Digit 83,117 = 9
γ — Euler-Mascheroni (γ)
Digit 83,117 = 9

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 83,101 (gap of 16)
  • Next prime: 83,137 (gap of 20)
Unicode codepoint
𔒭
Anatolian Hieroglyph A146
U+144AD
Other letter (Lo)

UTF-8 encoding: F0 94 92 AD (4 bytes).

Hex color
#0144AD
RGB(1, 68, 173)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.68.173.

Address
0.1.68.173
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.68.173

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 83117 first appears in π at position 54,901 of the decimal expansion (the 54,901ordinal-suffix:st 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.