Properties of the Number 5307

Five Thousand Three Hundred Seven

Basics

Value: 5306 → 5307 → 5308

Parity: odd

Prime: No

Previous Prime: 5303

Next Prime: 5309

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 29 × 61

Divisors: 1, 3, 29, 61, 87, 183, 1769, 5307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010111011

Octal: 12273

Duodecimal: 30A3

Hexadecimal: 14bb

Square: 28164249

Square Root: 72.84915922644544

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

a(n) = a(n-1) + a(floor(n/2)), a(1) = 1. A33485

MM-numbers of nesting multiset partitions. A326256

15-gonal (or pentadecagonal) numbers: n*(13n-11)/2. A51867

Dowling numbers: e.g.f. exp(x + (exp(b·x)-1)/b) with b=5. A3577

T(n,k)=Number of -k..k arrays x(0..n-1) of n elements with zero sum and no element more than one greater than the previous. A199847

Perimeter of primitive integer-sided triangles with A < B < C < 2*π/3 and such that FA + FB + FC is an integer where F is the Fermat point of the triangle. A336333

Expansion of ∑_n>=0 (qⁿ / ∏_k=1..n+5 (1 - q^k)). A35301

a(n) = a(n-1) + a(floor(n/2)) + a(ceiling(n/2)). A131205

Number of positive integers with n digits in which adjacent digits differ by at most 1. A235163

Numbers that are divisible by the sum of the digits of all their divisors (A034690). A333617