Properties of the Number 74496

Seventy-Four Thousand Four Hundred Ninety-Six

Basics

Value: 74495 → 74496 → 74497

Parity: even

Prime: No

Previous Prime: 74489

Next Prime: 74507

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁸ × 3 × 97

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010001100000000

Octal: 221400

Duodecimal: 37140

Hexadecimal: 12300

Square: 5549654016

Square Root: 272.93955374771167

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

T(n,k) is the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A234728

Sum of divisors of the number of partitions of n. A139041

Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A234721

Number of (n+1) X (5+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 7 (constant-stress 1 X 1 tilings). A234725

Numbers such that the largest prime factor equals the sum of the 4th power of the other prime factors. A244344

Main diagonal of A332359. A332360

Coefficients in q-expansion of (E₄ + E₂²)/2, where E₂ and E₄ are the Eisenstein series shown in A006352 and A004009, respectively. A282017

a(n) = smallest prime > eⁿ. A74496

Number of iterations before a repeated value, or -1 if this never occurs, when starting at k = 1 and repeating k = k·n if k does not contain any adjacent equal digits, else k = k with all adjacent equal digits replaced by a single copy of the same digit. A368940