Properties of the Number 68672

Sixty-Eight Thousand Six Hundred Seventy-Two

Basics

Value: 68671 → 68672 → 68673

Parity: even

Prime: No

Previous Prime: 68669

Next Prime: 68683

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁶ × 29 × 37

Divisors: 1, 2, 4, 8, 16, 29, 32, 37, 58, 64

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000110001000000

Octal: 206100

Duodecimal: 338A8

Hexadecimal: 10c40

Square: 4715843584

Square Root: 262.0534296665472

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 nXk 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..1 array. A229392

Number of n X 2 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1) X 3 0..1 array. A229386

Number of nX5 0..3 arrays of the sum of the corresponding element, the element to the east and the element to the south in a larger (n+1)X6 0..1 array. A229389

Number of (n+2) X (2+2) 0..1 arrays with every 2 X 2 and 3 X 3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically. A253361

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal maximum minus antidiagonal minimum unequal to its neighbors horizontally and vertically. A253367

Square array A(n,k) = A341527(A246278(n,k)), read by falling antidiagonals; denominators of the columnwise first quotients of A341605/A341606. A341627

Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks and between consecutive elements within the blocks are not larger than five. A287584

Primes in A068671. A68672

Number of nX4 0..3 arrays x(i,j) with each element horizontally, vertically or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A230827