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5,216

5,216 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.).

5,216 (five thousand two hundred sixteen) is an even 4-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 163. Written other ways, in hexadecimal, 0x1460.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
4
Digit sum
14
Digit product
60
Digital root
5
Palindrome
No
Bit width
13 bits
Reversed
6,125
Recamán's sequence
a(4,704) = 5,216
Square (n²)
27,206,656
Cube (n³)
141,909,917,696
Divisor count
12
σ(n) — sum of divisors
10,332
φ(n) — Euler's totient
2,592
Sum of prime factors
173

Primality

Prime factorization: 2 5 × 163

Nearest primes: 5,209 (−7) · 5,227 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 163 · 326 · 652 · 1304 · 2608 (half) · 5216
Aliquot sum (sum of proper divisors): 5,116
Factor pairs (a × b = 5,216)
1 × 5216
2 × 2608
4 × 1304
8 × 652
16 × 326
32 × 163
First multiples
5,216 · 10,432 (double) · 15,648 · 20,864 · 26,080 · 31,296 · 36,512 · 41,728 · 46,944 · 52,160

Sums & aliquot sequence

As consecutive integers: 50 + 51 + … + 113
Aliquot sequence: 5,216 5,116 3,844 3,107 253 35 13 1 0 — terminates at zero

Continued fraction of √n

√5,216 = [72; (4, 1, 1, 35, 1, 1, 4, 144)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
five thousand two hundred sixteen
Ordinal
5216th
Binary
1010001100000
Octal
12140
Hexadecimal
0x1460
Base64
FGA=
One's complement
60,319 (16-bit)
Scientific notation
5.216 × 10³
As a duration
5,216 s = 1 hour, 26 minutes, 56 seconds
In other bases
ternary (3) 21011012
quaternary (4) 1101200
quinary (5) 131331
senary (6) 40052
septenary (7) 21131
nonary (9) 7135
undecimal (11) 3a12
duodecimal (12) 3028
tridecimal (13) 24b3
tetradecimal (14) 1c88
pentadecimal (15) 182b
Palindromic in base 3

As an angle

5,216° = 14 × 360° + 176°
176° ≈ 3.072 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵εσιϛʹ
Mayan (base 20)
𝋭·𝋠·𝋰
Chinese
五千二百一十六
Chinese (financial)
伍仟貳佰壹拾陸
In other modern scripts
Eastern Arabic ٥٢١٦ Devanagari ५२१६ Bengali ৫২১৬ Tamil ௫௨௧௬ Thai ๕๒๑๖ Tibetan ༥༢༡༦ Khmer ៥២១៦ Lao ໕໒໑໖ Burmese ၅၂၁၆

Digit at this position in famous constants

π — Pi (π)
Digit 5,216 = 6
e — Euler's number (e)
Digit 5,216 = 3
φ — Golden ratio (φ)
Digit 5,216 = 1
√2 — Pythagoras's (√2)
Digit 5,216 = 0
ln 2 — Natural log of 2
Digit 5,216 = 1
γ — Euler-Mascheroni (γ)
Digit 5,216 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 5216, here are decompositions:

  • 7 + 5209 = 5216
  • 19 + 5197 = 5216
  • 37 + 5179 = 5216
  • 97 + 5119 = 5216
  • 103 + 5113 = 5216
  • 109 + 5107 = 5216
  • 139 + 5077 = 5216
  • 157 + 5059 = 5216

Showing the first eight; more decompositions exist.

Unicode codepoint
Canadian Syllabics West-Cree Twoo
U+1460
Other letter (Lo)

UTF-8 encoding: E1 91 A0 (3 bytes).

Hex color
#001460
RGB(0, 20, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.96.

Address
0.0.20.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.96

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

Musical pitch

Heard as a frequency, 5,216 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, -19¢)
  • Scientific pitch (C4 = 256 Hz): E8 (5160.6 Hz, +18¢)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, -18¢)
Position in π

The digit sequence 5216 first appears in π at position 1,322 of the decimal expansion (the 1,322ordinal-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.