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5,116

5,116 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.).

5,116 (five thousand one hundred sixteen) is an even 4-digit number. It is a composite number with 6 divisors, and factors as 2² × 1,279. Written other ways, in hexadecimal, 0x13FC.

Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
13
Digit product
30
Digital root
4
Palindrome
No
Bit width
13 bits
Reversed
6,115
Recamán's sequence
a(4,980) = 5,116
Square (n²)
26,173,456
Cube (n³)
133,903,400,896
Divisor count
6
σ(n) — sum of divisors
8,960
φ(n) — Euler's totient
2,556
Sum of prime factors
1,283

Primality

Prime factorization: 2 2 × 1279

Nearest primes: 5,113 (−3) · 5,119 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 1279 · 2558 (half) · 5116
Aliquot sum (sum of proper divisors): 3,844
Factor pairs (a × b = 5,116)
1 × 5116
2 × 2558
4 × 1279
First multiples
5,116 · 10,232 (double) · 15,348 · 20,464 · 25,580 · 30,696 · 35,812 · 40,928 · 46,044 · 51,160

Sums & aliquot sequence

As consecutive integers: 636 + 637 + … + 643
Aliquot sequence: 5,116 3,844 3,107 253 35 13 1 0 — terminates at zero

Continued fraction of √n

√5,116 = [71; (1, 1, 9, 28, 1, 1, 47, 5, 1, 2, 2, 1, 8, 1, 5, 15, 1, 2, 1, 1, 1, 3, 4, 2, …)]

Representations

In words
five thousand one hundred sixteen
Ordinal
5116th
Binary
1001111111100
Octal
11774
Hexadecimal
0x13FC
Base64
E/w=
One's complement
60,419 (16-bit)
Scientific notation
5.116 × 10³
As a duration
5,116 s = 1 hour, 25 minutes, 16 seconds
In other bases
ternary (3) 21000111
quaternary (4) 1033330
quinary (5) 130431
senary (6) 35404
septenary (7) 20626
nonary (9) 7014
undecimal (11) 3931
duodecimal (12) 2b64
tridecimal (13) 2437
tetradecimal (14) 1c16
pentadecimal (15) 17b1

As an angle

5,116° = 14 × 360° + 76°
76° ≈ 1.326 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εριϛʹ
Mayan (base 20)
𝋬·𝋯·𝋰
Chinese
五千一百一十六
Chinese (financial)
伍仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ٥١١٦ Devanagari ५११६ Bengali ৫১১৬ Tamil ௫௧௧௬ Thai ๕๑๑๖ Tibetan ༥༡༡༦ Khmer ៥១១៦ Lao ໕໑໑໖ Burmese ၅၁၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 5,116 = 5
e — Euler's number (e)
Digit 5,116 = 6
φ — Golden ratio (φ)
Digit 5,116 = 9
√2 — Pythagoras's (√2)
Digit 5,116 = 9
ln 2 — Natural log of 2
Digit 5,116 = 1
γ — Euler-Mascheroni (γ)
Digit 5,116 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5116, here are decompositions:

  • 3 + 5113 = 5116
  • 17 + 5099 = 5116
  • 29 + 5087 = 5116
  • 107 + 5009 = 5116
  • 113 + 5003 = 5116
  • 149 + 4967 = 5116
  • 173 + 4943 = 5116
  • 179 + 4937 = 5116

Showing the first eight; more decompositions exist.

Unicode codepoint
Cherokee Small Letter Yv
U+13FC
Lowercase letter (Ll)

UTF-8 encoding: E1 8F BC (3 bytes).

Hex color
#0013FC
RGB(0, 19, 252)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.252.

Address
0.0.19.252
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.252

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

Musical pitch

Heard as a frequency, 5,116 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +47¢ — about midway to E8)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -15¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +49¢ — about midway to F8)
Position in π

The digit sequence 5116 first appears in π at position 394 of the decimal expansion (the 394ordinal-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.

Related reading