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Number

53,113

53,113 is a prime, odd.

Arithmetic Number Cousin Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
13
Digit product
45
Digital root
4
Palindrome
No
Bit width
16 bits
Reversed
31,135
Recamán's sequence
a(60,898) = 53,113
Square (n²)
2,820,990,769
Cube (n³)
149,831,282,713,897
Divisor count
2
σ(n) — sum of divisors
53,114
φ(n) — Euler's totient
53,112

Primality

53,113 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 53113
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 53,113)
1 × 53113
First multiples
53,113 · 106,226 (double) · 159,339 · 212,452 · 265,565 · 318,678 · 371,791 · 424,904 · 478,017 · 531,130

Sums & aliquot sequence

As a sum of two squares: 88² + 213²
As consecutive integers: 26,556 + 26,557

Representations

In words
fifty-three thousand one hundred thirteen
Ordinal
53113th
Binary
1100111101111001
Octal
147571
Hexadecimal
0xCF79
Base64
z3k=
One's complement
12,422 (16-bit)
In other bases
ternary (3) 2200212011
quaternary (4) 30331321
quinary (5) 3144423
senary (6) 1045521
septenary (7) 310564
nonary (9) 80764
undecimal (11) 369a5
duodecimal (12) 268a1
tridecimal (13) 1b238
tetradecimal (14) 154db
pentadecimal (15) 10b0d

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵νγριγʹ
Mayan (base 20)
𝋦·𝋬·𝋯·𝋭
Chinese
五萬三千一百一十三
Chinese (financial)
伍萬參仟壹佰壹拾參
In other modern scripts
Eastern Arabic ٥٣١١٣ Devanagari ५३११३ Bengali ৫৩১১৩ Tamil ௫௩௧௧௩ Thai ๕๓๑๑๓ Tibetan ༥༣༡༡༣ Khmer ៥៣១១៣ Lao ໕໓໑໑໓ Burmese ၅၃၁၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 53,113 = 1
e — Euler's number (e)
Digit 53,113 = 8
φ — Golden ratio (φ)
Digit 53,113 = 9
√2 — Pythagoras's (√2)
Digit 53,113 = 9
ln 2 — Natural log of 2
Digit 53,113 = 1
γ — Euler-Mascheroni (γ)
Digit 53,113 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 53,101 (gap of 12)
  • Next prime: 53,117 (gap of 4)

Pair status: cousin with 53117.

Unicode codepoint
Hangul Syllable Kwalg
U+CF79
Other letter (Lo)

UTF-8 encoding: EC BD B9 (3 bytes).

Hex color
#00CF79
RGB(0, 207, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.207.121.

Address
0.0.207.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.207.121

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

Position in π

The digit sequence 53113 first appears in π at position 135,605 of the decimal expansion (the 135,605ordinal-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.