Number

15,013

15,013 is a prime, odd.

15,013 (fifteen thousand thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x3AA5.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

15,001 15,002 15,003 15,004 15,005 15,006 15,007 15,008 15,009 15,010 15,011 15,012 15,013 15,014 15,015 15,016 15,017 15,018 15,019 15,020 15,021 15,022 15,023 15,024 15,025

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 14 bits
Reversed: 31,051
Recamán's sequence: a(90,274) = 15,013
Square (n²): 225,390,169
Cube (n³): 3,383,782,607,197
Divisor count: 2
σ(n) — sum of divisors: 15,014
φ(n) — Euler's totient: 15,012

Primality

15,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 15013

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 15,013)

1 × 15013

First multiples

15,013 · 30,026 (double) · 45,039 · 60,052 · 75,065 · 90,078 · 105,091 · 120,104 · 135,117 · 150,130

Sums & aliquot sequence

As a sum of two squares: 33² + 118²

As consecutive integers: 7,506 + 7,507

Continued fraction of √n

√15,013 = [122; (1, 1, 8, 1, 1, 2, 1, 4, 1, 5, 1, 3, 1, 19, 1, 1, 1, 2, 6, 2, 3, 7, 7, 3, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words: fifteen thousand thirteen
Ordinal: 15013th
Binary: 11101010100101
Octal: 35245
Hexadecimal: 0x3AA5
Base64: OqU=
One's complement: 50,522 (16-bit)
Scientific notation: 1.5013 × 10⁴
As a duration: 15,013 s = 4 hours, 10 minutes, 13 seconds

In other bases

ternary (3) 202121001

quaternary (4) 3222211

quinary (5) 440023

senary (6) 153301

septenary (7) 61525

nonary (9) 22531

undecimal (11) 10309

duodecimal (12) 8831

tridecimal (13) 6aab

tetradecimal (14) 5685

pentadecimal (15) 46ad

As an angle

15,013° = 41 × 360° + 253°

253° ≈ 4.416 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ιειγʹ
Mayan (base 20): 𝋡·𝋱·𝋪·𝋭
Chinese: 一萬五千零一十三
Chinese (financial): 壹萬伍仟零壹拾參

In other modern scripts

Eastern Arabic ١٥٠١٣ Devanagari १५०१३ Bengali ১৫০১৩ Tamil ௧௫௦௧௩ Thai ๑๕๐๑๓ Tibetan ༡༥༠༡༣ Khmer ១៥០១៣ Lao ໑໕໐໑໓ Burmese ၁၅၀၁၃

Digit at this position in famous constants

π — Pi (π): Digit 15,013 = 7
e — Euler's number (e): Digit 15,013 = 9
φ — Golden ratio (φ): Digit 15,013 = 1
√2 — Pythagoras's (√2): Digit 15,013 = 3
ln 2 — Natural log of 2: Digit 15,013 = 1
γ — Euler-Mascheroni (γ): Digit 15,013 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 14,983 (gap of 30)
Next prime: 15,017 (gap of 4)

Pair status: cousin with 15017.

Unicode codepoint

㪥

CJK Unified Ideograph-3Aa5

U+3AA5

Other letter (Lo)

UTF-8 encoding: E3 AA A5 (3 bytes).

Lookup U+3AA5 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003AA5

RGB(0, 58, 165)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.58.165.

Address: 0.0.58.165
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.58.165

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

Musical pitch

Heard as a frequency, 15,013 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, +49¢ — about midway to B9)
Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +12¢)

Position in π

The digit sequence 15013 first appears in π at position 129,837 of the decimal expansion (the 129,837ordinal-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 15013 on Pi Search ↗