Properties of the Number 75480

Seventy-Five Thousand Four Hundred Eighty

Basics

Value: 75479 → 75480 → 75481

Parity: even

Prime: No

Previous Prime: 75479

Next Prime: 75503

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 17 × 37

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011011011000

Octal: 223330

Duodecimal: 37820

Hexadecimal: 126d8

Square: 5697230400

Square Root: 274.73623714391954

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

5-Stirling numbers of the second kind. A193685

Sum of the first k-1 numbers in the k-th column of the natural number array A000027, by antidiagonals. A185788

Number of 3-step king's tours on an n X n board summed over all starting positions. A186862

Number of (w,x,y,z) with all terms in {1,...,n} and w<|x-y|+|y-z|. A212568

a(n) = floor(n*(n-1)*(n-2)*(n-3)/21). A11931

Even numbers k such that the central binomial coefficient A000984(k, k/2) is divisible by k². A80395

Number of 3 X n 0..1 arrays with every element equal to 0, 1, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302311

Curious identities based on the Armstrong number 371 = A005188(12). A281860

Number of iteration that first becomes smaller than the initial value if Collatz function (A006370) is iterated, starting with numbers of the form 64n + 39. A75480