Live analysis

3,016

3,016 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.).

3,016 (three thousand sixteen) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 29. Its proper divisors sum to 3,284, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMXVI and in binary, 101111001000.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

3,004 3,005 3,006 3,007 3,008 3,009 3,010 3,011 3,012 3,013 3,014 3,015 3,016 3,017 3,018 3,019 3,020 3,021 3,022 3,023 3,024 3,025 3,026 3,027 3,028

less more

Properties

Parity: Even
Digit count: 4
Digit sum: 10
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 12 bits
Reversed: 6,103
Recamán's sequence: a(1,471) = 3,016
Square (n²): 9,096,256
Cube (n³): 27,434,308,096
Divisor count: 16
σ(n) — sum of divisors: 6,300
φ(n) — Euler's totient: 1,344
Sum of prime factors: 48

Primality

Prime factorization: 2 ³ × 13 × 29

Nearest primes: 3,011 (−5) · 3,019 (+3)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 8 · 13 · 26 · 29 · 52 · 58 · 104 · 116 · 232 · 377 · 754 · 1508 (half) · 3016

Aliquot sum (sum of proper divisors): 3,284

Factor pairs (a × b = 3,016)

1 × 3016

2 × 1508

4 × 754

8 × 377

13 × 232

26 × 116

29 × 104

52 × 58

First multiples

3,016 · 6,032 (double) · 9,048 · 12,064 · 15,080 · 18,096 · 21,112 · 24,128 · 27,144 · 30,160

Sums & aliquot sequence

As a sum of two squares: 10² + 54² = 30² + 46²

As consecutive integers: 226 + 227 + … + 238 181 + 182 + … + 196 90 + 91 + … + 118

Aliquot sequence: 3,016 → 3,284 → 2,470 → 2,570 → 2,074 → 1,274 → 1,120 → 1,904 → 2,560 → 3,578 → 1,792 → 2,296 → 2,744 → 3,256 → 3,584 → 4,600 → 6,560 — unresolved within range

Continued fraction of √n

√3,016 = [54; (1, 11, 4, 1, 2, 4, 27, 4, 2, 1, 4, 11, 1, 108)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: three thousand sixteen
Ordinal: 3016th
Roman numeral: MMMXVI
Binary: 101111001000
Octal: 5710
Hexadecimal: 0xBC8
Base64: C8g=
One's complement: 62,519 (16-bit)
Scientific notation: 3.016 × 10³
As a duration: 3,016 s = 50 minutes, 16 seconds

In other bases

ternary (3) 11010201

quaternary (4) 233020

quinary (5) 44031

senary (6) 21544

septenary (7) 11536

nonary (9) 4121

undecimal (11) 22a2

duodecimal (12) 18b4

tridecimal (13) 14b0

tetradecimal (14) 1156

pentadecimal (15) d61

As an angle

3,016° = 8 × 360° + 136°

136° ≈ 2.374 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵γιϛʹ
Mayan (base 20): 𝋧·𝋪·𝋰
Chinese: 三千零一十六
Chinese (financial): 參仟零壹拾陸

In other modern scripts

Eastern Arabic ٣٠١٦ Devanagari ३०१६ Bengali ৩০১৬ Tamil ௩௦௧௬ Thai ๓๐๑๖ Tibetan ༣༠༡༦ Khmer ៣០១៦ Lao ໓໐໑໖ Burmese ၃၀၁၆

Digit at this position in famous constants

π — Pi (π): Digit 3,016 = 6
e — Euler's number (e): Digit 3,016 = 9
φ — Golden ratio (φ): Digit 3,016 = 6
√2 — Pythagoras's (√2): Digit 3,016 = 1
ln 2 — Natural log of 2: Digit 3,016 = 4
γ — Euler-Mascheroni (γ): Digit 3,016 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3016, here are decompositions:

5 + 3011 = 3016
17 + 2999 = 3016
47 + 2969 = 3016
53 + 2963 = 3016
59 + 2957 = 3016
89 + 2927 = 3016
107 + 2909 = 3016
113 + 2903 = 3016

Showing the first eight; more decompositions exist.

Unicode codepoint

ை

Tamil Vowel Sign Ai

U+0BC8

Spacing combining mark (Mc)

UTF-8 encoding: E0 AF 88 (3 bytes).

Lookup U+0BC8 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000BC8

RGB(0, 11, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.200.

Address: 0.0.11.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.11.200

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

Musical pitch

Heard as a frequency, 3,016 Hz is closest to:

Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +32¢)
Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -30¢)
Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +34¢)

Position in π

The digit sequence 3016 first appears in π at position 2,183 of the decimal expansion (the 2,183ordinal-suffix:rd 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 3016 on Pi Search ↗