Live analysis

10,016

10,016 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.).

10,016 (ten thousand sixteen) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 313. Written other ways, in hexadecimal, 0x2720.

Deficient Number Flippable Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

10,004 10,005 10,006 10,007 10,008 10,009 10,010 10,011 10,012 10,013 10,014 10,015 10,016 10,017 10,018 10,019 10,020 10,021 10,022 10,023 10,024 10,025 10,026 10,027 10,028

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 14 bits
Reversed: 61,001
Flips to (rotate 180°): 91,001
Recamán's sequence: a(6,103) = 10,016
Square (n²): 100,320,256
Cube (n³): 1,004,807,684,096
Divisor count: 12
σ(n) — sum of divisors: 19,782
φ(n) — Euler's totient: 4,992
Sum of prime factors: 323

Primality

Prime factorization: 2 ⁵ × 313

Nearest primes: 10,009 (−7) · 10,037 (+21)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 8 · 16 · 32 · 313 · 626 · 1252 · 2504 · 5008 (half) · 10016

Aliquot sum (sum of proper divisors): 9,766

Factor pairs (a × b = 10,016)

1 × 10016

2 × 5008

4 × 2504

8 × 1252

16 × 626

32 × 313

First multiples

10,016 · 20,032 (double) · 30,048 · 40,064 · 50,080 · 60,096 · 70,112 · 80,128 · 90,144 · 100,160

Sums & aliquot sequence

As a sum of two squares: 4² + 100²

As consecutive integers: 125 + 126 + … + 188

Aliquot sequence: 10,016 → 9,766 → 5,714 → 2,860 → 4,196 → 3,154 → 1,886 → 1,138 → 572 → 604 → 460 → 548 → 418 → 302 → 154 → 134 → 70 — unresolved within range

Continued fraction of √n

√10,016 = [100; (12, 1, 1, 49, 1, 1, 12, 200)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: ten thousand sixteen
Ordinal: 10016th
Binary: 10011100100000
Octal: 23440
Hexadecimal: 0x2720
Base64: JyA=
One's complement: 55,519 (16-bit)
Scientific notation: 1.0016 × 10⁴
As a duration: 10,016 s = 2 hours, 46 minutes, 56 seconds

In other bases

ternary (3) 111201222

quaternary (4) 2130200

quinary (5) 310031

senary (6) 114212

septenary (7) 41126

nonary (9) 14658

undecimal (11) 7586

duodecimal (12) 5968

tridecimal (13) 4736

tetradecimal (14) 3916

pentadecimal (15) 2e7b

As an angle

10,016° = 27 × 360° + 296°

296° ≈ 5.166 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιιϛʹ
Mayan (base 20): 𝋡·𝋥·𝋠·𝋰
Chinese: 一萬零一十六
Chinese (financial): 壹萬零壹拾陸

In other modern scripts

Eastern Arabic ١٠٠١٦ Devanagari १००१६ Bengali ১০০১৬ Tamil ௧௦௦௧௬ Thai ๑๐๐๑๖ Tibetan ༡༠༠༡༦ Khmer ១០០១៦ Lao ໑໐໐໑໖ Burmese ၁၀၀၁၆

Digit at this position in famous constants

π — Pi (π): Digit 10,016 = 5
e — Euler's number (e): Digit 10,016 = 0
φ — Golden ratio (φ): Digit 10,016 = 6
√2 — Pythagoras's (√2): Digit 10,016 = 7
ln 2 — Natural log of 2: Digit 10,016 = 1
γ — Euler-Mascheroni (γ): Digit 10,016 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10016, here are decompositions:

7 + 10009 = 10016
43 + 9973 = 10016
67 + 9949 = 10016
109 + 9907 = 10016
157 + 9859 = 10016
199 + 9817 = 10016
229 + 9787 = 10016
277 + 9739 = 10016

Showing the first eight; more decompositions exist.

Unicode codepoint

✠

Maltese Cross

U+2720

Other symbol (So)

UTF-8 encoding: E2 9C A0 (3 bytes).

Lookup U+2720 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002720

RGB(0, 39, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.32.

Address: 0.0.39.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.32

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

Musical pitch

Heard as a frequency, 10,016 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +48¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +12¢)

Position in π

The digit sequence 10016 first appears in π at position 15,761 of the decimal expansion (the 15,761ordinal-suffix:st 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 10016 on Pi Search ↗