Properties of the Number 15505

Fifteen Thousand Five Hundred Five

Basics

Value: 15504 → 15505 → 15506

Parity: odd

Prime: No

Previous Prime: 15497

Next Prime: 15511

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 7 × 443

Divisors: 1, 5, 7, 35, 443, 2215, 3101, 15505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110010010001

Octal: 36221

Duodecimal: 8B81

Hexadecimal: 3c91

Square: 240405025

Square Root: 124.51907484397722

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) = n*(n²+3·n-1)/3. A84990

a(n) = ∑_k=0..n binomial(n,k) * binomial(4·k,k) / (3·k + 1). A346646

28-gonal numbers: a(n) = n*(13·n - 12). A161935

G.f.: A(x) = 1 + x/exp( ∑_k>=1 (A((-1)^k*x) - 1)^k/k ). A157674

Numbers n such that 30n+{11, 13, 17, 19, 23} are 5 consecutive primes. A182279

Pseudoprimes to base 13. A20141

a(n) = n! - n⁶. A196413

Triangle, read by rows, of the coefficients of [x^k] in G100234(x)ⁿ such that the row sums are 6ⁿ-1 for n>0, where G100234(x) is the g.f. of A100234. A100235

a(n) = ∑_i=1..n ( ∏_k∣i d(k) ), where d(n) = A000005(n). A237349

Expansion of (∑_k>=0 x^k⁴)¹⁹. A282288