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Number

82,013

82,013 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
31,028
Recamán's sequence
a(23,745) = 82,013
Square (n²)
6,726,132,169
Cube (n³)
551,630,277,576,197
Divisor count
2
σ(n) — sum of divisors
82,014
φ(n) — Euler's totient
82,012

Primality

82,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 82013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 82,013)
1 × 82013
First multiples
82,013 · 164,026 (double) · 246,039 · 328,052 · 410,065 · 492,078 · 574,091 · 656,104 · 738,117 · 820,130

Sums & aliquot sequence

As a sum of two squares: 202² + 203²
As consecutive integers: 41,006 + 41,007

Representations

In words
eighty-two thousand thirteen
Ordinal
82013th
Binary
10100000001011101
Octal
240135
Hexadecimal
0x1405D
Base64
AUBd
One's complement
4,294,885,282 (32-bit)
In other bases
ternary (3) 11011111112
quaternary (4) 110001131
quinary (5) 10111023
senary (6) 1431405
septenary (7) 461051
nonary (9) 134445
undecimal (11) 56688
duodecimal (12) 3b565
tridecimal (13) 2b439
tetradecimal (14) 21c61
pentadecimal (15) 19478

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵πβιγʹ
Mayan (base 20)
𝋪·𝋥·𝋠·𝋭
Chinese
八萬二千零一十三
Chinese (financial)
捌萬貳仟零壹拾參
In other modern scripts
Eastern Arabic ٨٢٠١٣ Devanagari ८२०१३ Bengali ৮২০১৩ Tamil ௮௨௦௧௩ Thai ๘๒๐๑๓ Tibetan ༨༢༠༡༣ Khmer ៨២០១៣ Lao ໘໒໐໑໓ Burmese ၈၂၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 82,013 = 3
e — Euler's number (e)
Digit 82,013 = 1
φ — Golden ratio (φ)
Digit 82,013 = 2
√2 — Pythagoras's (√2)
Digit 82,013 = 9
ln 2 — Natural log of 2
Digit 82,013 = 6
γ — Euler-Mascheroni (γ)
Digit 82,013 = 6

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 82,009 (gap of 4)
  • Next prime: 82,021 (gap of 8)

Pair status: cousin with 82009.

Unicode codepoint
𔁝
Egyptian Hieroglyph-1405D
U+1405D
Other letter (Lo)

UTF-8 encoding: F0 94 81 9D (4 bytes).

Hex color
#01405D
RGB(1, 64, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.64.93.

Address
0.1.64.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.64.93

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

Position in π

The digit sequence 82013 first appears in π at position 144,817 of the decimal expansion (the 144,817ordinal-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.