Live analysis

13,014

13,014 is a composite number, even.

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.).

13,014 (thirteen thousand fourteen) is an even 5-digit number. It is a composite number with 16 divisors, and factors as 2 × 3³ × 241. Its proper divisors sum to 16,026, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x32D6.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

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 13,022 13,023 13,024 13,025 13,026

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 41,031
Recamán's sequence: a(48,247) = 13,014
Square (n²): 169,364,196
Cube (n³): 2,204,105,646,744
Divisor count: 16
σ(n) — sum of divisors: 29,040
φ(n) — Euler's totient: 4,320
Sum of prime factors: 252

Primality

Prime factorization: 2 × 3 ³ × 241

Nearest primes: 13,009 (−5) · 13,033 (+19)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 241 · 482 · 723 · 1446 · 2169 · 4338 · 6507 (half) · 13014

Aliquot sum (sum of proper divisors): 16,026

Factor pairs (a × b = 13,014)

1 × 13014

2 × 6507

3 × 4338

6 × 2169

9 × 1446

18 × 723

27 × 482

54 × 241

First multiples

13,014 · 26,028 (double) · 39,042 · 52,056 · 65,070 · 78,084 · 91,098 · 104,112 · 117,126 · 130,140

Sums & aliquot sequence

As consecutive integers: 4,337 + 4,338 + 4,339 3,252 + 3,253 + 3,254 + 3,255 1,442 + 1,443 + … + 1,450 1,079 + 1,080 + … + 1,090

Aliquot sequence: 13,014 → 16,026 → 16,038 → 23,310 → 47,826 → 55,836 → 105,444 → 173,016 → 318,384 → 693,456 → 1,098,096 → 1,738,776 → 2,943,384 → 4,670,616 → 7,005,984 → 13,315,296 → 22,310,448 — unresolved within range

Continued fraction of √n

√13,014 = [114; (12, 1, 2, 25, 114, 25, 2, 1, 12, 228)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand fourteen
Ordinal: 13014th
Binary: 11001011010110
Octal: 31326
Hexadecimal: 0x32D6
Base64: MtY=
One's complement: 52,521 (16-bit)
Scientific notation: 1.3014 × 10⁴
As a duration: 13,014 s = 3 hours, 36 minutes, 54 seconds

In other bases

ternary (3) 122212000

quaternary (4) 3023112

quinary (5) 404024

senary (6) 140130

septenary (7) 52641

nonary (9) 18760

undecimal (11) 9861

duodecimal (12) 7646

tridecimal (13) 5c01

tetradecimal (14) 4a58

pentadecimal (15) 3cc9

As an angle

13,014° = 36 × 360° + 54°

54° ≈ 0.942 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγιδʹ
Mayan (base 20): 𝋡·𝋬·𝋪·𝋮
Chinese: 一萬三千零一十四
Chinese (financial): 壹萬參仟零壹拾肆

In other modern scripts

Eastern Arabic ١٣٠١٤ Devanagari १३०१४ Bengali ১৩০১৪ Tamil ௧௩௦௧௪ Thai ๑๓๐๑๔ Tibetan ༡༣༠༡༤ Khmer ១៣០១៤ Lao ໑໓໐໑໔ Burmese ၁၃၀၁၄

Digit at this position in famous constants

π — Pi (π): Digit 13,014 = 6
e — Euler's number (e): Digit 13,014 = 2
φ — Golden ratio (φ): Digit 13,014 = 1
√2 — Pythagoras's (√2): Digit 13,014 = 2
ln 2 — Natural log of 2: Digit 13,014 = 4
γ — Euler-Mascheroni (γ): Digit 13,014 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13014, here are decompositions:

5 + 13009 = 13014
7 + 13007 = 13014
11 + 13003 = 13014
13 + 13001 = 13014
31 + 12983 = 13014
41 + 12973 = 13014
47 + 12967 = 13014
61 + 12953 = 13014

Showing the first eight; more decompositions exist.

Unicode codepoint

㋖

Circled Katakana Ki

U+32D6

Other symbol (So)

UTF-8 encoding: E3 8B 96 (3 bytes).

Lookup U+32D6 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032D6

RGB(0, 50, 214)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.214.

Address: 0.0.50.214
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.214

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

Musical pitch

Heard as a frequency, 13,014 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -36¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -35¢)

Position in π

The digit sequence 13014 first appears in π at position 111,636 of the decimal expansion (the 111,636ordinal-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 13014 on Pi Search ↗