Live analysis

13,017

13,017 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

13,017 (thirteen thousand seventeen) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 3 × 4,339. Written other ways, in hexadecimal, 0x32D9.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 13,022 13,023 13,024 13,025 13,026 13,027 13,028 13,029

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 71,031
Recamán's sequence: a(48,241) = 13,017
Square (n²): 169,442,289
Cube (n³): 2,205,630,275,913
Divisor count: 4
σ(n) — sum of divisors: 17,360
φ(n) — Euler's totient: 8,676
Sum of prime factors: 4,342

Primality

Prime factorization: 3 × 4339

Nearest primes: 13,009 (−8) · 13,033 (+16)

Divisors & multiples

All divisors (4)

1 · 3 · 4339 · 13017

Aliquot sum (sum of proper divisors): 4,343

Factor pairs (a × b = 13,017)

1 × 13017

3 × 4339

First multiples

13,017 · 26,034 (double) · 39,051 · 52,068 · 65,085 · 78,102 · 91,119 · 104,136 · 117,153 · 130,170

Sums & aliquot sequence

As consecutive integers: 6,508 + 6,509 4,338 + 4,339 + 4,340 2,167 + 2,168 + 2,169 + 2,170 + 2,171 + 2,172

Aliquot sequence: 13,017 → 4,343 → 145 → 35 → 13 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,017 = [114; (10, 1, 6, 4, 1, 1, 20, 5, 3, 1, 7, 9, 2, 1, 1, 1, 3, 2, 4, 3, 5, 1, 1, 5, …)]

Representations

In words: thirteen thousand seventeen
Ordinal: 13017th
Binary: 11001011011001
Octal: 31331
Hexadecimal: 0x32D9
Base64: Mtk=
One's complement: 52,518 (16-bit)
Scientific notation: 1.3017 × 10⁴
As a duration: 13,017 s = 3 hours, 36 minutes, 57 seconds

In other bases

ternary (3) 122212010

quaternary (4) 3023121

quinary (5) 404032

senary (6) 140133

septenary (7) 52644

nonary (9) 18763

undecimal (11) 9864

duodecimal (12) 7649

tridecimal (13) 5c04

tetradecimal (14) 4a5b

pentadecimal (15) 3ccc

As an angle

13,017° = 36 × 360° + 57°

57° ≈ 0.995 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγιζʹ
Mayan (base 20): 𝋡·𝋬·𝋪·𝋱
Chinese: 一萬三千零一十七
Chinese (financial): 壹萬參仟零壹拾柒

In other modern scripts

Eastern Arabic ١٣٠١٧ Devanagari १३०१७ Bengali ১৩০১৭ Tamil ௧௩௦௧௭ Thai ๑๓๐๑๗ Tibetan ༡༣༠༡༧ Khmer ១៣០១៧ Lao ໑໓໐໑໗ Burmese ၁၃၀၁၇

Digit at this position in famous constants

π — Pi (π): Digit 13,017 = 9
e — Euler's number (e): Digit 13,017 = 2
φ — Golden ratio (φ): Digit 13,017 = 0
√2 — Pythagoras's (√2): Digit 13,017 = 5
ln 2 — Natural log of 2: Digit 13,017 = 9
γ — Euler-Mascheroni (γ): Digit 13,017 = 9

Also seen as

Unicode codepoint

㋙

Circled Katakana Ko

U+32D9

Other symbol (So)

UTF-8 encoding: E3 8B 99 (3 bytes).

Lookup U+32D9 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032D9

RGB(0, 50, 217)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.217.

Address: 0.0.50.217
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.217

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

Musical pitch

Heard as a frequency, 13,017 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +2¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -35¢)

Position in π

The digit sequence 13017 first appears in π at position 6,320 of the decimal expansion (the 6,320ordinal-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 13017 on Pi Search ↗