Number

13,009

13,009 is a prime, odd.

13,009 (thirteen thousand nine) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x32D1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

12 notable facts · grade A

12,997 12,998 12,999 13,000 13,001 13,002 13,003 13,004 13,005 13,006 13,007 13,008 13,009 13,010 13,011 13,012 13,013 13,014 13,015 13,016 13,017 13,018 13,019 13,020 13,021

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 90,031
Recamán's sequence: a(48,257) = 13,009
Square (n²): 169,234,081
Cube (n³): 2,201,566,159,729
Divisor count: 2
σ(n) — sum of divisors: 13,010
φ(n) — Euler's totient: 13,008

Primality

13,009 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 13009

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 13,009)

1 × 13009

First multiples

13,009 · 26,018 (double) · 39,027 · 52,036 · 65,045 · 78,054 · 91,063 · 104,072 · 117,081 · 130,090

Sums & aliquot sequence

As a sum of two squares: 60² + 97²

As consecutive integers: 6,504 + 6,505

Continued fraction of √n

√13,009 = [114; (17, 1, 1, 5, 2, 1, 75, 2, 1, 5, 5, 1, 1, 8, 1, 24, 2, 4, 1, 1, 2, 1, 1, 1, …)]

Representations

In words: thirteen thousand nine
Ordinal: 13009th
Binary: 11001011010001
Octal: 31321
Hexadecimal: 0x32D1
Base64: MtE=
One's complement: 52,526 (16-bit)
Scientific notation: 1.3009 × 10⁴
As a duration: 13,009 s = 3 hours, 36 minutes, 49 seconds

In other bases

ternary (3) 122211211

quaternary (4) 3023101

quinary (5) 404014

senary (6) 140121

septenary (7) 52633

nonary (9) 18754

undecimal (11) 9857

duodecimal (12) 7641

tridecimal (13) 5bc9

tetradecimal (14) 4a53

pentadecimal (15) 3cc4

As an angle

13,009° = 36 × 360° + 49°

49° ≈ 0.855 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγθʹ
Mayan (base 20): 𝋡·𝋬·𝋪·𝋩
Chinese: 一萬三千零九
Chinese (financial): 壹萬參仟零玖

In other modern scripts

Eastern Arabic ١٣٠٠٩ Devanagari १३००९ Bengali ১৩০০৯ Tamil ௧௩௦௦௯ Thai ๑๓๐๐๙ Tibetan ༡༣༠༠༩ Khmer ១៣០០៩ Lao ໑໓໐໐໙ Burmese ၁၃၀၀၉

Digit at this position in famous constants

π — Pi (π): Digit 13,009 = 3
e — Euler's number (e): Digit 13,009 = 3
φ — Golden ratio (φ): Digit 13,009 = 1
√2 — Pythagoras's (√2): Digit 13,009 = 6
ln 2 — Natural log of 2: Digit 13,009 = 0
γ — Euler-Mascheroni (γ): Digit 13,009 = 9

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 13,007 (gap of 2)
Next prime: 13,033 (gap of 24)

Pair status: twin with 13007.

Unicode codepoint

㋑

Circled Katakana I

U+32D1

Other symbol (So)

UTF-8 encoding: E3 8B 91 (3 bytes).

Lookup U+32D1 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032D1

RGB(0, 50, 209)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.209.

Address: 0.0.50.209
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.209

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

Musical pitch

Heard as a frequency, 13,009 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -37¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -36¢)

Position in π

The digit sequence 13009 first appears in π at position 50,000 of the decimal expansion (the 50,000ordinal-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 13009 on Pi Search ↗