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Number

52,313

52,313 is a prime, odd.

52,313 (fifty-two thousand three hundred thirteen) is an odd 5-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xCC59.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
90
Digital root
5
Palindrome
No
Bit width
16 bits
Reversed
31,325
Recamán's sequence
a(143,833) = 52,313
Square (n²)
2,736,649,969
Cube (n³)
143,162,369,828,297
Divisor count
2
σ(n) — sum of divisors
52,314
φ(n) — Euler's totient
52,312

Primality

52,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 52313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 52,313)
1 × 52313
First multiples
52,313 · 104,626 (double) · 156,939 · 209,252 · 261,565 · 313,878 · 366,191 · 418,504 · 470,817 · 523,130

Sums & aliquot sequence

As a sum of two squares: 28² + 227²
As consecutive integers: 26,156 + 26,157

Continued fraction of √n

√52,313 = [228; (1, 2, 1, 1, 2, 1, 3, 1, 4, 4, 5, 3, 1, 1, 1, 7, 1, 1, 7, 1, 1, 1, 3, 5, …)]

Period length 35 — the block in parentheses repeats forever.

Representations

In words
fifty-two thousand three hundred thirteen
Ordinal
52313th
Binary
1100110001011001
Octal
146131
Hexadecimal
0xCC59
Base64
zFk=
One's complement
13,222 (16-bit)
Scientific notation
5.2313 × 10⁴
As a duration
52,313 s = 14 hours, 31 minutes, 53 seconds
In other bases
ternary (3) 2122202112
quaternary (4) 30301121
quinary (5) 3133223
senary (6) 1042105
septenary (7) 305342
nonary (9) 78675
undecimal (11) 36338
duodecimal (12) 26335
tridecimal (13) 1aa71
tetradecimal (14) 150c9
pentadecimal (15) 10778

As an angle

52,313° = 145 × 360° + 113°
113° ≈ 1.972 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵νβτιγʹ
Mayan (base 20)
𝋦·𝋪·𝋯·𝋭
Chinese
五萬二千三百一十三
Chinese (financial)
伍萬貳仟參佰壹拾參
In other modern scripts
Eastern Arabic ٥٢٣١٣ Devanagari ५२३१३ Bengali ৫২৩১৩ Tamil ௫௨௩௧௩ Thai ๕๒๓๑๓ Tibetan ༥༢༣༡༣ Khmer ៥២៣១៣ Lao ໕໒໓໑໓ Burmese ၅၂၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 52,313 = 1
e — Euler's number (e)
Digit 52,313 = 5
φ — Golden ratio (φ)
Digit 52,313 = 5
√2 — Pythagoras's (√2)
Digit 52,313 = 5
ln 2 — Natural log of 2
Digit 52,313 = 1
γ — Euler-Mascheroni (γ)
Digit 52,313 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 52,301 (gap of 12)
  • Next prime: 52,321 (gap of 8)
Unicode codepoint
Hangul Syllable Caeng
U+CC59
Other letter (Lo)

UTF-8 encoding: EC B1 99 (3 bytes).

Hex color
#00CC59
RGB(0, 204, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.204.89.

Address
0.0.204.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.204.89

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

Position in π

The digit sequence 52313 first appears in π at position 36,116 of the decimal expansion (the 36,116ordinal-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.