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Number

53,813

53,813 is a prime, odd.

53,813 (fifty-three thousand eight hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xD235.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
16 bits
Reversed
31,835
Recamán's sequence
a(293,826) = 53,813
Square (n²)
2,895,838,969
Cube (n³)
155,833,782,438,797
Divisor count
2
σ(n) — sum of divisors
53,814
φ(n) — Euler's totient
53,812

Primality

53,813 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 53813
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 53,813)
1 × 53813
First multiples
53,813 · 107,626 (double) · 161,439 · 215,252 · 269,065 · 322,878 · 376,691 · 430,504 · 484,317 · 538,130

Sums & aliquot sequence

As a sum of two squares: 82² + 217²
As consecutive integers: 26,906 + 26,907

Continued fraction of √n

√53,813 = [231; (1, 41, 5, 1, 1, 3, 3, 2, 5, 1, 2, 26, 1, 15, 1, 1, 1, 1, 5, 1, 3, 19, 1, 10, …)]

Representations

In words
fifty-three thousand eight hundred thirteen
Ordinal
53813th
Binary
1101001000110101
Octal
151065
Hexadecimal
0xD235
Base64
0jU=
One's complement
11,722 (16-bit)
Scientific notation
5.3813 × 10⁴
As a duration
53,813 s = 14 hours, 56 minutes, 53 seconds
In other bases
ternary (3) 2201211002
quaternary (4) 31020311
quinary (5) 3210223
senary (6) 1053045
septenary (7) 312614
nonary (9) 81732
undecimal (11) 37481
duodecimal (12) 27185
tridecimal (13) 1b656
tetradecimal (14) 1587b
pentadecimal (15) 10e28

As an angle

53,813° = 149 × 360° + 173°
173° ≈ 3.019 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵νγωιγʹ
Mayan (base 20)
𝋦·𝋮·𝋪·𝋭
Chinese
五萬三千八百一十三
Chinese (financial)
伍萬參仟捌佰壹拾參
In other modern scripts
Eastern Arabic ٥٣٨١٣ Devanagari ५३८१३ Bengali ৫৩৮১৩ Tamil ௫௩௮௧௩ Thai ๕๓๘๑๓ Tibetan ༥༣༨༡༣ Khmer ៥៣៨១៣ Lao ໕໓໘໑໓ Burmese ၅၃၈၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 53,813 = 7
e — Euler's number (e)
Digit 53,813 = 2
φ — Golden ratio (φ)
Digit 53,813 = 8
√2 — Pythagoras's (√2)
Digit 53,813 = 2
ln 2 — Natural log of 2
Digit 53,813 = 0
γ — Euler-Mascheroni (γ)
Digit 53,813 = 8

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 53,791 (gap of 22)
  • Next prime: 53,819 (gap of 6)

Pair status: sexy with 53819.

Unicode codepoint
Hangul Syllable Tulg
U+D235
Other letter (Lo)

UTF-8 encoding: ED 88 B5 (3 bytes).

Hex color
#00D235
RGB(0, 210, 53)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.210.53.

Address
0.0.210.53
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.210.53

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

Position in π

The digit sequence 53813 first appears in π at position 142,270 of the decimal expansion (the 142,270ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.