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Number

5,113

5,113 is a prime, odd.

Arithmetic Number Balanced Prime Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
15
Digital root
1
Palindrome
No
Bit width
13 bits
Reversed
3,115
Recamán's sequence
a(4,986) = 5,113
Square (n²)
26,142,769
Cube (n³)
133,667,977,897
Divisor count
2
σ(n) — sum of divisors
5,114
φ(n) — Euler's totient
5,112

Primality

5,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 5113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 5,113)
1 × 5113
First multiples
5,113 · 10,226 (double) · 15,339 · 20,452 · 25,565 · 30,678 · 35,791 · 40,904 · 46,017 · 51,130

Sums & aliquot sequence

As a sum of two squares: 48² + 53²
As consecutive integers: 2,556 + 2,557

Representations

In words
five thousand one hundred thirteen
Ordinal
5113th
Binary
1001111111001
Octal
11771
Hexadecimal
0x13F9
Base64
E/k=
One's complement
60,422 (16-bit)
In other bases
ternary (3) 21000101
quaternary (4) 1033321
quinary (5) 130423
senary (6) 35401
septenary (7) 20623
nonary (9) 7011
undecimal (11) 3929
duodecimal (12) 2b61
tridecimal (13) 2434
tetradecimal (14) 1c13
pentadecimal (15) 17ad

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵εριγʹ
Mayan (base 20)
𝋬·𝋯·𝋭
Chinese
五千一百一十三
Chinese (financial)
伍仟壹佰壹拾參
In other modern scripts
Eastern Arabic ٥١١٣ Devanagari ५११३ Bengali ৫১১৩ Tamil ௫௧௧௩ Thai ๕๑๑๓ Tibetan ༥༡༡༣ Khmer ៥១១៣ Lao ໕໑໑໓ Burmese ၅၁၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 5,113 = 4
e — Euler's number (e)
Digit 5,113 = 2
φ — Golden ratio (φ)
Digit 5,113 = 5
√2 — Pythagoras's (√2)
Digit 5,113 = 7
ln 2 — Natural log of 2
Digit 5,113 = 1
γ — Euler-Mascheroni (γ)
Digit 5,113 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 5,107 (gap of 6)
  • Next prime: 5,119 (gap of 6)

Pair status: sexy with 5107, sexy with 5119.

Unicode codepoint
Cherokee Small Letter Yi
U+13F9
Lowercase letter (Ll)

UTF-8 encoding: E1 8F B9 (3 bytes).

Hex color
#0013F9
RGB(0, 19, 249)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.19.249.

Address
0.0.19.249
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.19.249

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

Position in π

The digit sequence 5113 first appears in π at position 31,662 of the decimal expansion (the 31,662ordinal-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.