Properties of the Number 2964

Two Thousand Nine Hundred Sixty-Four

Basics

Value: 2963 → 2964 → 2965

Parity: even

Prime: No

Previous Prime: 2963

Next Prime: 2969

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 13 × 19

Divisors: 1, 2, 3, 4, 6, 12, 13, 19, 26, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110010100

Octal: 5624

Duodecimal: 1870

Hexadecimal: b94

Square: 8785296

Square Root: 54.4426303552648

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

4 times triangular numbers: a(n) = 2·n*(n+1). A46092

Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused). A6958

Numbers k such that k² divides 11^k - 1. A127092

Numbers k such that k² divides 7^k-1. A127107

a(n) = 4·n*(2·n + 1). A33586

Shortest edge c of (measured by the longest edge) primitive Euler bricks (a, b, c, sqrt(a² + b²), sqrt(b² + c²), sqrt(a² + c²) are integers). A31175

Numbers k such that k³ divides 5^k² - 1. A177905

Number of integer partitions of n such that every pair of distinct parts has a different quotient. A325853

Total sum A(n,k) of the k-th powers of lengths of ascending runs in all permutations of [n]; square array A(n,k), n>=0, k>=0, read by antidiagonals. A229001

Positive integers m such that π(m²) = π(j²) + π(k²) for no 0 < j <= k < m. A262408