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Properties of the Number 23965

Twenty-Three Thousand Nine Hundred Sixty-Five

Basics

Value: 23964 → 23965 → 23966

Parity: odd

Prime: No

Previous Prime: 23957

Next Prime: 23971

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 4793

Divisors: 1, 5, 4793, 23965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101110110011101

Octal: 56635

Duodecimal: 11A51

Hexadecimal: 5d9d

Square: 574321225

Square Root: 154.80633061990713

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 no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one. A231806
Half the number of (n+1) X 2 binary arrays with no 2X2 subblock having exactly 2 ones. A183774
Number of (n+1)X(2+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one. A231800
Number of (n+1)X(6+1) 0..1 arrays with no element having a strict majority of its horizontal, vertical, diagonal and antidiagonal neighbors equal to one. A231804
Number of squarefree parts in the partitions of n into 8 parts. A309461
Convolution of A000219 and A001477. A360489
Expansion of e.g.f.: cos(arctan(x)+log(x+1))=1-4/2!*x2+6/3!*x3+13/4!*x4-20/5!*x5... A12964
Convoluted convolved Fibonacci numbers G8r. A89115
Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 9 ones in any 5 X 5 X 5 subtriangle. A153970
T(n,k) = half the number of (n+1) X (k+1) binary arrays with no 2 X 2 subblock having exactly 2 ones. A183782