Properties of the Number 5239

Five Thousand Two Hundred Thirty-Nine

Basics

Value: 5238 → 5239 → 5240

Parity: odd

Prime: No

Previous Prime: 5237

Next Prime: 5261

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 13 ² × 31

Divisors: 1, 13, 31, 169, 403, 5239

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1010001110111

Octal: 12167

Duodecimal: 3047

Hexadecimal: 1477

Square: 27447121

Square Root: 72.38093671679029

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

Numbers k such that k and k+1 are both base φ Niven numbers (A334308). A334309

a(n)² is a square whose digits occur with an equal minimum frequency of 2. A52049

T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and avoiding the pattern z z+1 z+2. A209073

Sums of six consecutive squares: a(n) = n² + (n+1)² + (n+2)² + (n+3)² + (n+4)² + (n+5)². A27865

Palindromes in factorial base. A46807

Number of partitions of n having no parts with multiplicity 7. A184642

Numbers having exactly three representations by the quadratic form x²+xy+y² with 0<=x<=y. A198774

Number of Fermat pseudoprimes to base 5 less than 10ⁿ. A114247

T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A240760

If F is the Fermat point of a triangle ABC with A < B < C < 2*π/3, where AB, BC, CA, FA, FB and FC are all positive integers, then, this sequence gives the sum FA + FB + FC when gcd(a, b, c) = A351477(n). A351476