Properties of the Number 14785

Fourteen Thousand Seven Hundred Eighty-Five

Basics

Value: 14784 → 14785 → 14786

Parity: odd

Prime: No

Previous Prime: 14783

Next Prime: 14797

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 2957

Divisors: 1, 5, 2957, 14785

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11100111000001

Octal: 34701

Duodecimal: 8681

Hexadecimal: 39c1

Square: 218596225

Square Root: 121.59358535712317

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

Expansion of e.g.f. 2/(1 + sqrt(1 - 4·x*exp(x))). A295238

Centered 28-gonal numbers. A195314

G.f.: A(x) = exp( ∑_n>=1 xⁿ/n * ∑_k=0..n binomial(n,k)² * x^k*(1-x)^k ). A217282

Array read by antidiagonals: T(m,n) is the number of partitions of the vertices of the grid graph P_m X P_n into dominating sets. A391824

Numerators of continued fraction convergents to sqrt(821). A42584

Number of partitions p of n such that max(p)-min(p) = 7. A218570

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

Total number of inversions in all partitions of n into distinct parts. A271371

Number of partitions of the vertices of the n X 3 grid graph into dominating sets. A391827

Numbers k such that the continued fraction for sqrt(k) has period 93. A20432