Properties of the Number 6965

Six Thousand Nine Hundred Sixty-Five

Basics

Value: 6964 → 6965 → 6966

Parity: odd

Prime: No

Previous Prime: 6961

Next Prime: 6967

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 199

Divisors: 1, 5, 7, 35, 199, 995, 1393, 6965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100110101

Octal: 15465

Duodecimal: 4045

Hexadecimal: 1b35

Square: 48511225

Square Root: 83.45657553482529

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

Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c²+d²)/2)). A134602

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219883

T(n,k) = Number of n X k 0..1 arrays with every element equal to 0, 1, 2, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303182

Composite integers m such that P(m)² == 1 (mod m), where P(m) is the m-th Pell number A000129(m). Also, odd composite integers m such that U(m)² == 1 (mod m) and V(m) == 6 (mod m), where U(m)=A001109(m) and V(m)=A003499(m) are the m-th generalized Lucas and Pell-Lucas numbers of parameters a=6 and b=1, respectively. A337233

Partial sums of A000084. A58351

Sum of the third largest parts in the partitions of n into 7 parts. A308931

Numbers that are the sum of ten fourth powers in seven or more ways. A345600

Numbers that are the sum of ten fourth powers in exactly seven ways. A345859

Positive integers of the form (6·m² + 1)/11. A179337

Triangle formed by coefficients of the expansion of p(x,n) = (1+x-x²)ⁿ⁺¹*∑_{j >= 0} (2·j+1)ⁿ*(-x + x²)^j. A156918