Properties of the Number 82968

Eighty-Two Thousand Nine Hundred Sixty-Eight

Basics

Value: 82967 → 82968 → 82969

Parity: even

Prime: No

Previous Prime: 82963

Next Prime: 82981

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 3457

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 3457, 6914

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010000011000

Octal: 242030

Duodecimal: 40020

Hexadecimal: 14418

Square: 6883689024

Square Root: 288.04166365302086

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 length n+3 0..k arrays with some pair in every consecutive four terms totalling exactly k. A245950

a(n) = 576·n² + 2·n. A158369

a(n) = 576·n² + 24. A158637

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 24. A31702

Number of length n+3 0..5 arrays with some pair in every consecutive four terms totalling exactly 5. A245947

Number of length 4+3 0..n arrays with some pair in every consecutive four terms totalling exactly n. A245954

Wiener index of the n-necklace graph. A393462

Numbers k such that 355·2^k+1 is prime. A323002

a(n)=sum(k=1,n, k mod sum(i=0,k-1,1-t(i))) where t(i)=A010060(i) is the Thue-Morse sequence. A82968