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5,096

5,096 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.).

5,096 (five thousand ninety-six) is an even 4-digit number. It is a composite number with 24 divisors, and factors as 2³ × 7² × 13. Its proper divisors sum to 6,874, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x13E8.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
13 bits
Reversed
6,905
Recamán's sequence
a(5,020) = 5,096
Square (n²)
25,969,216
Cube (n³)
132,339,124,736
Divisor count
24
σ(n) — sum of divisors
11,970
φ(n) — Euler's totient
2,016
Sum of prime factors
33

Primality

Prime factorization: 2 3 × 7 2 × 13

Nearest primes: 5,087 (−9) · 5,099 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 26 · 28 · 49 · 52 · 56 · 91 · 98 · 104 · 182 · 196 · 364 · 392 · 637 · 728 · 1274 · 2548 (half) · 5096
Aliquot sum (sum of proper divisors): 6,874
Factor pairs (a × b = 5,096)
1 × 5096
2 × 2548
4 × 1274
7 × 728
8 × 637
13 × 392
14 × 364
26 × 196
28 × 182
49 × 104
52 × 98
56 × 91
First multiples
5,096 · 10,192 (double) · 15,288 · 20,384 · 25,480 · 30,576 · 35,672 · 40,768 · 45,864 · 50,960

Sums & aliquot sequence

As a sum of two squares: 14² + 70²
As a sum of two cubes: 10³ + 16³
As consecutive integers: 725 + 726 + … + 731 386 + 387 + … + 398 311 + 312 + … + 326 80 + 81 + … + 128
Aliquot sequence: 5,096 6,874 4,934 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 — unresolved within range

Continued fraction of √n

√5,096 = [71; (2, 1, 1, 2, 3, 5, 2, 2, 2, 5, 3, 2, 1, 1, 2, 142)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
five thousand ninety-six
Ordinal
5096th
Binary
1001111101000
Octal
11750
Hexadecimal
0x13E8
Base64
E+g=
One's complement
60,439 (16-bit)
Scientific notation
5.096 × 10³
As a duration
5,096 s = 1 hour, 24 minutes, 56 seconds
In other bases
ternary (3) 20222202
quaternary (4) 1033220
quinary (5) 130341
senary (6) 35332
septenary (7) 20600
nonary (9) 6882
undecimal (11) 3913
duodecimal (12) 2b48
tridecimal (13) 2420
tetradecimal (14) 1c00
pentadecimal (15) 179b
Palindromic in base 3

As an angle

5,096° = 14 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εϟϛʹ
Mayan (base 20)
𝋬·𝋮·𝋰
Chinese
五千零九十六
Chinese (financial)
伍仟零玖拾陸
In other modern scripts
Eastern Arabic ٥٠٩٦ Devanagari ५०९६ Bengali ৫০৯৬ Tamil ௫௦௯௬ Thai ๕๐๙๖ Tibetan ༥༠༩༦ Khmer ៥០៩៦ Lao ໕໐໙໖ Burmese ၅၀၉၆

Digit at this position in famous constants

π — Pi (π)
Digit 5,096 = 4
e — Euler's number (e)
Digit 5,096 = 2
φ — Golden ratio (φ)
Digit 5,096 = 0
√2 — Pythagoras's (√2)
Digit 5,096 = 9
ln 2 — Natural log of 2
Digit 5,096 = 2
γ — Euler-Mascheroni (γ)
Digit 5,096 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5096, here are decompositions:

  • 19 + 5077 = 5096
  • 37 + 5059 = 5096
  • 73 + 5023 = 5096
  • 97 + 4999 = 5096
  • 103 + 4993 = 5096
  • 109 + 4987 = 5096
  • 127 + 4969 = 5096
  • 139 + 4957 = 5096

Showing the first eight; more decompositions exist.

Unicode codepoint
Cherokee Letter Tsv
U+13E8
Uppercase letter (Lu)

UTF-8 encoding: E1 8F A8 (3 bytes).

Hex color
#0013E8
RGB(0, 19, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.232.

Address
0.0.19.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.232

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

Musical pitch

Heard as a frequency, 5,096 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D♯8 (4978 Hz, +41¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, -22¢)
  • Baroque pitch (A4 = 415 Hz): E8 (4974.4 Hz, +42¢)
Position in π

The digit sequence 5096 first appears in π at position 8,452 of the decimal expansion (the 8,452ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.