Properties of the Number 40357

Forty Thousand Three Hundred Fifty-Seven

Basics

Value: 40356 → 40357 → 40358

Parity: odd

Prime: Yes

Previous Prime: 40351

Next Prime: 40361

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 40357

Divisors: 1, 40357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 1001110110100101

Octal: 116645

Duodecimal: 1B431

Hexadecimal: 9da5

Square: 1628687449

Square Root: 200.89051744669283

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..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250898

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250942

Smallest prime factor of A104365(n) = A104350(n) + 1. A104366

Sum of all terms on the two principal diagonals of a 2n+1 X 2n+1 square spiral. A114254

The sum of the principal diagonals of an n X n spiral. A137930

Fibonacci sequence beginning 1, 15. A22105

Convolution of Lucas numbers and (F(2), F(3), F(4), ...). A23619

Number of (n+1) X (1+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250891

Number of (7+1) X (n+1) 0..2 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250905

Number of (7+1)X(n+1) 0..2 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250949