Number

82,013

82,013 is a prime, odd.

82,013 (eighty-two thousand thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1405D.

Arithmetic Number Centered Square Cousin Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

82,001 82,002 82,003 82,004 82,005 82,006 82,007 82,008 82,009 82,010 82,011 82,012 82,013 82,014 82,015 82,016 82,017 82,018 82,019 82,020 82,021 82,022 82,023 82,024 82,025

less more

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

Continued fraction of √n

√82,013 = [286; (2, 1, 1, 1, 3, 5, 1, 18, 1, 10, 15, 2, 1, 1, 2, 1, 10, 1, 29, 4, 2, 1, 19, 1, …)]

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)
Scientific notation: 8.2013 × 10⁴
As a duration: 82,013 s = 22 hours, 46 minutes, 53 seconds

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

As an angle

82,013° = 227 × 360° + 293°

293° ≈ 5.114 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

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).

Lookup U+1405D on Compart ↗ Lookup on FileFormat.Info ↗

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.

Look up 82013 on Pi Search ↗