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Number

55,313

55,313 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
17
Digit product
225
Digital root
8
Palindrome
No
Bit width
16 bits
Reversed
31,355
Recamán's sequence
a(140,929) = 55,313
Square (n²)
3,059,527,969
Cube (n³)
169,231,670,549,297
Divisor count
2
σ(n) — sum of divisors
55,314
φ(n) — Euler's totient
55,312

Primality

55,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 55313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 55,313)
1 × 55313
First multiples
55,313 · 110,626 (double) · 165,939 · 221,252 · 276,565 · 331,878 · 387,191 · 442,504 · 497,817 · 553,130

Sums & aliquot sequence

As a sum of two squares: 32² + 233²
As consecutive integers: 27,656 + 27,657

Representations

In words
fifty-five thousand three hundred thirteen
Ordinal
55313th
Binary
1101100000010001
Octal
154021
Hexadecimal
0xD811
Base64
2BE=
One's complement
10,222 (16-bit)
In other bases
ternary (3) 2210212122
quaternary (4) 31200101
quinary (5) 3232223
senary (6) 1104025
septenary (7) 320156
nonary (9) 83778
undecimal (11) 38615
duodecimal (12) 28015
tridecimal (13) 1c23b
tetradecimal (14) 1622d
pentadecimal (15) 115c8

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵νετιγʹ
Mayan (base 20)
𝋦·𝋲·𝋥·𝋭
Chinese
五萬五千三百一十三
Chinese (financial)
伍萬伍仟參佰壹拾參
In other modern scripts
Eastern Arabic ٥٥٣١٣ Devanagari ५५३१३ Bengali ৫৫৩১৩ Tamil ௫௫௩௧௩ Thai ๕๕๓๑๓ Tibetan ༥༥༣༡༣ Khmer ៥៥៣១៣ Lao ໕໕໓໑໓ Burmese ၅၅၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 55,313 = 3
e — Euler's number (e)
Digit 55,313 = 2
φ — Golden ratio (φ)
Digit 55,313 = 6
√2 — Pythagoras's (√2)
Digit 55,313 = 6
ln 2 — Natural log of 2
Digit 55,313 = 6
γ — Euler-Mascheroni (γ)
Digit 55,313 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 55,291 (gap of 22)
  • Next prime: 55,331 (gap of 18)
Hex color
#00D811
RGB(0, 216, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.216.17.

Address
0.0.216.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.216.17

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

Position in π

The digit sequence 55313 first appears in π at position 109,129 of the decimal expansion (the 109,129ordinal-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.