Number

18,013

18,013 is a prime, odd.

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

Properties

Parity: Odd
Digit count: 5
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 15 bits
Reversed: 31,081
Recamán's sequence: a(8,134) = 18,013
Square (n²): 324,468,169
Cube (n³): 5,844,645,128,197
Divisor count: 2
σ(n) — sum of divisors: 18,014
φ(n) — Euler's totient: 18,012

Primality

18,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 18013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 18,013)

1 × 18013

First multiples

18,013 · 36,026 (double) · 54,039 · 72,052 · 90,065 · 108,078 · 126,091 · 144,104 · 162,117 · 180,130

Sums & aliquot sequence

As a sum of two squares: 18² + 133²

As consecutive integers: 9,006 + 9,007

Representations

In words: eighteen thousand thirteen
Ordinal: 18013th
Binary: 100011001011101
Octal: 43135
Hexadecimal: 0x465D
Base64: Rl0=
One's complement: 47,522 (16-bit)

In other bases

ternary (3) 220201011

quaternary (4) 10121131

quinary (5) 1034023

senary (6) 215221

septenary (7) 103342

nonary (9) 26634

undecimal (11) 12596

duodecimal (12) a511

tridecimal (13) 8278

tetradecimal (14) 67c9

pentadecimal (15) 550d

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιηιγʹ
Mayan (base 20): 𝋢·𝋥·𝋠·𝋭
Chinese: 一萬八千零一十三
Chinese (financial): 壹萬捌仟零壹拾參

In other modern scripts

Eastern Arabic ١٨٠١٣ Devanagari १८०१३ Bengali ১৮০১৩ Tamil ௧௮௦௧௩ Thai ๑๘๐๑๓ Tibetan ༡༨༠༡༣ Khmer ១៨០១៣ Lao ໑໘໐໑໓ Burmese ၁၈၀၁၃

Digit at this position in famous constants

π — Pi (π): Digit 18,013 = 6
e — Euler's number (e): Digit 18,013 = 6
φ — Golden ratio (φ): Digit 18,013 = 1
√2 — Pythagoras's (√2): Digit 18,013 = 0
ln 2 — Natural log of 2: Digit 18,013 = 2
γ — Euler-Mascheroni (γ): Digit 18,013 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 17,989 (gap of 24)
Next prime: 18,041 (gap of 28)

Unicode codepoint

䙝

CJK Unified Ideograph-465D

U+465D

Other letter (Lo)

UTF-8 encoding: E4 99 9D (3 bytes).

Lookup U+465D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00465D

RGB(0, 70, 93)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.70.93.

Address: 0.0.70.93
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.70.93

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

Position in π

The digit sequence 18013 first appears in π at position 207,823 of the decimal expansion (the 207,823ordinal-suffix:rd 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 18013 on Pi Search ↗