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Number

84,131

84,131 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Happy Number Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
96
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
13,148
Recamán's sequence
a(268,886) = 84,131
Square (n²)
7,078,025,161
Cube (n³)
595,481,334,820,091
Divisor count
2
σ(n) — sum of divisors
84,132
φ(n) — Euler's totient
84,130

Primality

84,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 84131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 84,131)
1 × 84131
First multiples
84,131 · 168,262 (double) · 252,393 · 336,524 · 420,655 · 504,786 · 588,917 · 673,048 · 757,179 · 841,310

Sums & aliquot sequence

As consecutive integers: 42,065 + 42,066

Representations

In words
eighty-four thousand one hundred thirty-one
Ordinal
84131st
Binary
10100100010100011
Octal
244243
Hexadecimal
0x148A3
Base64
AUij
One's complement
4,294,883,164 (32-bit)
In other bases
ternary (3) 11021101222
quaternary (4) 110202203
quinary (5) 10143011
senary (6) 1445255
septenary (7) 500165
nonary (9) 137358
undecimal (11) 58233
duodecimal (12) 4082b
tridecimal (13) 2c3a8
tetradecimal (14) 22935
pentadecimal (15) 19ddb

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵πδρλαʹ
Mayan (base 20)
𝋪·𝋪·𝋦·𝋫
Chinese
八萬四千一百三十一
Chinese (financial)
捌萬肆仟壹佰參拾壹
In other modern scripts
Eastern Arabic ٨٤١٣١ Devanagari ८४१३१ Bengali ৮৪১৩১ Tamil ௮௪௧௩௧ Thai ๘๔๑๓๑ Tibetan ༨༤༡༣༡ Khmer ៨៤១៣១ Lao ໘໔໑໓໑ Burmese ၈၄၁၃၁

Digit at this position in famous constants

π — Pi (π)
Digit 84,131 = 8
e — Euler's number (e)
Digit 84,131 = 5
φ — Golden ratio (φ)
Digit 84,131 = 2
√2 — Pythagoras's (√2)
Digit 84,131 = 0
ln 2 — Natural log of 2
Digit 84,131 = 5
γ — Euler-Mascheroni (γ)
Digit 84,131 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 84,127 (gap of 4)
  • Next prime: 84,137 (gap of 6)

Pair status: cousin with 84127, sexy with 84137.

Hex color
#0148A3
RGB(1, 72, 163)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.163.

Address
0.1.72.163
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.163

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

Position in π

The digit sequence 84131 first appears in π at position 443,956 of the decimal expansion (the 443,956ordinal-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.