Properties of the Number 968

Nine Hundred Sixty-Eight

Basics

Value: 967 → 968 → 969

Parity: even

Prime: No

Previous Prime: 967

Next Prime: 971

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ³ × 11 ²

Divisors: 1, 2, 4, 8, 11, 22, 44, 88, 121, 242

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111001000

Octal: 1710

Duodecimal: 688

Hexadecimal: 3c8

Square: 937024

Square Root: 31.11269837220809

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

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

a(n) = 2·n². A1105

Squares and twice squares. A28982

Powerful numbers (A001694) that are not prime powers (A000961). A286708

Numbers having k prime factors (counted with multiplicity), the largest of which is the k-th prime. A106529

a(n) = ceiling(n²/2). A982

a(n) = floor(n²/2). A7590

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

Number of integer partitions of n whose distinct parts are connected. A304716

a(n) = n * ∏_{primes p∣n} p. A64549