Properties of the Number 74892

Seventy-Four Thousand Eight Hundred Ninety-Two

Basics

Value: 74891 → 74892 → 74893

Parity: even

Prime: No

Previous Prime: 74891

Next Prime: 74897

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 79 ²

Divisors: 1, 2, 3, 4, 6, 12, 79, 158, 237, 316

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10010010010001100

Octal: 222214

Duodecimal: 37410

Hexadecimal: 1248c

Square: 5608811664

Square Root: 273.6640275958826

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+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252433

Triangle read by rows: T(n,k) (1<=k<=n) given by T(n, 1) = T(n,n) = 1, otherwise T(n, k) = (m·n-m·k+1)*T(n-1,k-1) + (m·k-m+1)*T(n-1,k), where m = 7. A142462

Partial sums of floor(2ⁿ/7). A178455

Number of multisets of exactly two nonempty binary words with a total of n letters such that no word has a majority of 0's. A316403

Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0, 2, 4, 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0, 2, 4, 6 or 7. A252431

Number of (4+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252437

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253435

Duplicate of A074874. A74892