Properties of the Number 74725

Seventy-Four Thousand Seven Hundred Twenty-Five

Basics

Value: 74724 → 74725 → 74726

Parity: odd

Prime: No

Previous Prime: 74719

Next Prime: 74729

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 7 ² × 61

Divisors: 1, 5, 7, 25, 35, 49, 61, 175, 245, 305

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010001111100101

Octal: 221745

Duodecimal: 372B1

Hexadecimal: 123e5

Square: 5583825625

Square Root: 273.3587386567329

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

Number of asymmetrical planar partitions of n: planar partitions (A000219) that when regarded as 3-D objects have no symmetry. A785

a(n) = 61·n². A174333

Number of nX7 0..1 arrays with every element equal to 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A298894

Number of n X n 0..1 arrays with every element equal to 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A298889

T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A298895

Irregular table read by rows: T(n,k) is the start of the first run of exactly k consecutive odd numbers having exactly n divisors, or 0 if no such run exists. A319046

Number of 7-element proper antichains of an n-element set. A51307

Numbers k such that F(k) and C(2k,k) are relatively prime, where F(k) is the k-th Fibonacci number (A000045(k)). A74725

a(n) = binomial(n+3,2)*binomial(n+4,3)*binomial(n+5,5)/12. A107916