Properties of the Number 97836

Ninety-Seven Thousand Eight Hundred Thirty-Six

Basics

Value: 97835 → 97836 → 97837

Parity: even

Prime: No

Previous Prime: 97829

Next Prime: 97841

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 31 × 263

Divisors: 1, 2, 3, 4, 6, 12, 31, 62, 93, 124

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10111111000101100

Octal: 277054

Duodecimal: 48750

Hexadecimal: 17e2c

Square: 9571882896

Square Root: 312.7874677796411

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 arrangements of n+1 nonzero numbers x(i) in -k..k with the sum of trunc(x(i)/x(i+1)) equal to zero. A189545

Structured snub dodecahedral numbers. A100151

Number of arrangements of n+1 nonzero numbers x(i) in -n..n with the sum of trunc(x(i)/x(i+1)) equal to zero. A189537

Number of arrangements of n+1 nonzero numbers x(i) in -5..5 with the sum of trunc(x(i)/x(i+1)) equal to zero. A189541

Number of arrangements of 6 nonzero numbers x(i) in -n..n with the sum of trunc(x(i)/x(i+1)) equal to zero. A189549

Number of planar n X n X n binary triangular grids symmetric both under 120 degree rotation and reflection with no more than 2 ones in any 4 X 4 X 4 subtriangle. A153916

Chebyshev polynomials S(n,51). A97836