Properties of the Number 52747

Fifty-Two Thousand Seven Hundred Forty-Seven

Basics

Value: 52746 → 52747 → 52748

Parity: odd

Prime: Yes

Previous Prime: 52733

Next Prime: 52757

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 52747

Divisors: 1, 52747

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000001011

Octal: 147013

Duodecimal: 26637

Hexadecimal: ce0b

Square: 2782246009

Square Root: 229.66715045909373

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Prime numbers p not of the form 10k+1 for which the quintonacci quintic polynomial x⁵ - x⁴ - x³ - x² - x - 1 modulus p is factorizable into five binomials. A135847

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 6: primes in A146331. A146351

a(n) = ∑_k=1..n (k/gcd(n, k))⁴. A343514

Prime numbers preceded by two consecutive numbers which are products of four distinct primes (or tetraprimes). A361796

Primes of the form 9n²-8n+2. A154253

Primes such that the next 10 prime gaps are all distinct. A372550

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, 0), (0, 0, -1), (1, 0, 0), (1, 1, 1)}. A150775

a(0) = a(1) = a(2) = 0; a(n) = n!/(n-2) for n > 2. A52747