Live analysis

13,016

13,016 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.).

13,016 (thirteen thousand sixteen) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2³ × 1,627. Written other ways, in hexadecimal, 0x32D8.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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 13,027 13,028

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 14 bits
Reversed: 61,031
Recamán's sequence: a(48,243) = 13,016
Square (n²): 169,416,256
Cube (n³): 2,205,121,988,096
Divisor count: 8
σ(n) — sum of divisors: 24,420
φ(n) — Euler's totient: 6,504
Sum of prime factors: 1,633

Primality

Prime factorization: 2 ³ × 1627

Nearest primes: 13,009 (−7) · 13,033 (+17)

Divisors & multiples

All divisors (8)

1 · 2 · 4 · 8 · 1627 · 3254 · 6508 (half) · 13016

Aliquot sum (sum of proper divisors): 11,404

Factor pairs (a × b = 13,016)

1 × 13016

2 × 6508

4 × 3254

8 × 1627

First multiples

13,016 · 26,032 (double) · 39,048 · 52,064 · 65,080 · 78,096 · 91,112 · 104,128 · 117,144 · 130,160

Sums & aliquot sequence

As consecutive integers: 806 + 807 + … + 821

Aliquot sequence: 13,016 → 11,404 → 8,560 → 11,528 → 12,232 → 12,968 → 11,362 → 8,798 → 4,810 → 4,766 → 2,386 → 1,196 → 1,156 → 993 → 335 → 73 → 1 — unresolved within range

Continued fraction of √n

√13,016 = [114; (11, 2, 2, 8, 1, 2, 1, 1, 1, 1, 1, 1, 3, 1, 3, 2, 1, 2, 1, 4, 2, 5, 3, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand sixteen
Ordinal: 13016th
Binary: 11001011011000
Octal: 31330
Hexadecimal: 0x32D8
Base64: Mtg=
One's complement: 52,519 (16-bit)
Scientific notation: 1.3016 × 10⁴
As a duration: 13,016 s = 3 hours, 36 minutes, 56 seconds

In other bases

ternary (3) 122212002

quaternary (4) 3023120

quinary (5) 404031

senary (6) 140132

septenary (7) 52643

nonary (9) 18762

undecimal (11) 9863

duodecimal (12) 7648

tridecimal (13) 5c03

tetradecimal (14) 4a5a

pentadecimal (15) 3ccb

As an angle

13,016° = 36 × 360° + 56°

56° ≈ 0.977 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγιϛʹ
Mayan (base 20): 𝋡·𝋬·𝋪·𝋰
Chinese: 一萬三千零一十六
Chinese (financial): 壹萬參仟零壹拾陸

In other modern scripts

Eastern Arabic ١٣٠١٦ Devanagari १३०१६ Bengali ১৩০১৬ Tamil ௧௩௦௧௬ Thai ๑๓๐๑๖ Tibetan ༡༣༠༡༦ Khmer ១៣០១៦ Lao ໑໓໐໑໖ Burmese ၁၃၀၁၆

Digit at this position in famous constants

π — Pi (π): Digit 13,016 = 3
e — Euler's number (e): Digit 13,016 = 9
φ — Golden ratio (φ): Digit 13,016 = 0
√2 — Pythagoras's (√2): Digit 13,016 = 0
ln 2 — Natural log of 2: Digit 13,016 = 3
γ — Euler-Mascheroni (γ): Digit 13,016 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13016, here are decompositions:

7 + 13009 = 13016
13 + 13003 = 13016
37 + 12979 = 13016
43 + 12973 = 13016
97 + 12919 = 13016
109 + 12907 = 13016
127 + 12889 = 13016
163 + 12853 = 13016

Showing the first eight; more decompositions exist.

Unicode codepoint

㋘

Circled Katakana Ke

U+32D8

Other symbol (So)

UTF-8 encoding: E3 8B 98 (3 bytes).

Lookup U+32D8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032D8

RGB(0, 50, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.216.

Address: 0.0.50.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.216

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

Musical pitch

Heard as a frequency, 13,016 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 13016 first appears in π at position 114,511 of the decimal expansion (the 114,511ordinal-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 13016 on Pi Search ↗