Properties of the Number 2965

Two Thousand Nine Hundred Sixty-Five

Basics

Value: 2964 → 2965 → 2966

Parity: odd

Prime: No

Previous Prime: 2963

Next Prime: 2969

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 593

Divisors: 1, 5, 593, 2965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110010101

Octal: 5625

Duodecimal: 1871

Hexadecimal: b95

Square: 8791225

Square Root: 54.45181356024793

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

Centered square numbers: a(n) = 2·n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values. A1844

Number of integer compositions of n whose leaders of strictly increasing runs are distinct. A374687

Composite and every divisor (except 1) contains the digit 5. A62672

a(n) = 8·n² + 4·n + 1. A102083

Denominator of (1+σ(s)) / ((s+1)/2), where s is the square of n prime-shifted once (s = A003961(n)² = A003961(n²)). A337339

Third row of Pascal-(1,5,1) array A081580. A81589

Length of the hypotenuse of an integer right triangle with the hypotenuse being one more than the longer side. The shorter sides are just consecutive odd numbers 3, 5, 7, ... A99776

a(n) = 3·a(n-2) - a(n-3) with a(0)=-1, a(1)=1, a(2)=-4. A214779

Inverse Euler transform of Bell numbers. A85686

Number of partitions of n into parts congruent to {2, 3, 4} mod 6. A97451