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Properties of the Number 74824

Seventy-Four Thousand Eight Hundred Twenty-Four

Basics

Value: 74823 → 74824 → 74825

Parity: even

Prime: No

Previous Prime: 74821

Next Prime: 74827

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 3 × 47 × 199

Divisors: 1, 2, 4, 8, 47, 94, 188, 199, 376, 398

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 10010010001001000

Octal: 222110

Duodecimal: 37374

Hexadecimal: 12448

Square: 5598630976

Square Root: 273.5397594500661

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)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253698
T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. A252243
T(n,k) is the number of (n+1) X (k+1) 0..4 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). A235017
Number of (n+1) X 2 binary arrays with no 2 X 2 subblock trace equal to any horizontal or vertical neighbor 2 X 2 subblock trace. A185761
a(1)=1, a(n)=a(n-1)+n0 if n odd, a(n)=a(n-1)+ n4 if n is even. A140142
Number of (n+2) X (7+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. A252242
Number of (n+2) X (1+2) 0..3 arrays with every 3 X 3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3 X 3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. A252236
Numbers that are the sum of 10 consecutive primes and also the sum of 10 consecutive semiprimes. A284102
Number of walks within N3 (the first octant of Z3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 0), (0, -1, 1), (1, 0, 1), (1, 1, -1)}. A148858
T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace. A185769