Properties of the Number 72962

Seventy-Two Thousand Nine Hundred Sixty-Two

Basics

Value: 72961 → 72962 → 72963

Parity: even

Prime: No

Previous Prime: 72959

Next Prime: 72973

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 191 ²

Divisors: 1, 2, 191, 382, 36481, 72962

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100000010

Octal: 216402

Duodecimal: 36282

Hexadecimal: 11d02

Square: 5323453444

Square Root: 270.1147904132612

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

Numbers k such that φ(k) == 2 (mod 12), where φ is the Euler totient function (A000010). A332511

T(n,k)=Half the number of nXk binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors. A183402

Composite numbers k such that ∑_i=1..t-1 d(i+1)/d(i) is prime, where d(1), ..., d(t) are the divisors of k in ascending order. A255585

Number of nX2 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order. A267638

Half the number of nX5 binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors. A183401

Numbers such that the sum of the cube of the odd divisors is prime. A195332

Number of pairs in generation n of the tree T defined in Comments. A252864

Where records occur in A070138. A298942

Unsigned reduced Euler characteristic for the matroid complex of cycle matroid for complete bipartite graph K_n,n. A72962