Properties of the Number 14800

Fourteen Thousand Eight Hundred

Basics

Value: 14799 → 14800 → 14801

Parity: even

Prime: No

Previous Prime: 14797

Next Prime: 14813

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 5 ² × 37

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11100111010000

Octal: 34720

Duodecimal: 8694

Hexadecimal: 39d0

Square: 219040000

Square Root: 121.6552506059644

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) = (2·n - 1)*(7·n² - 7·n + 6)/6. A63490

Number of partitions of n⁴ into fourth powers. A259793

Array read by antidiagonals upwards: T(n,k) = number of partitions of kⁿ into n-th powers (n>=1, k>=0). A259799

a(n) = ∑_{k=0..floor(n/2)} T(n,k), T given by A026747. A26755

T(n,k) is the number of (n+1) X (k+1) 0..5 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings). A235026

Even numbers k such that 6k+1, 12k+1, 18k+1, 36k+1 and 72k+1 are all primes. A206349

Numbers m such that the smallest digit in the decimal expansion of 1/m is 5, ignoring leading and trailing 0's. A352159

Number of fibodd primes (A095081) in range [2ⁿ,2ⁿ⁺¹]. A95061

Number of composable pairs (y, v) of integer compositions of n, where a composition is regarded as an arrow from the number of parts to the number of distinct parts. A355388

The second left hand column of triangle A167552. A167554