Properties of the Number 2962

Two Thousand Nine Hundred Sixty-Two

Basics

Value: 2961 → 2962 → 2963

Parity: even

Prime: No

Previous Prime: 2957

Next Prime: 2963

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 1481

Divisors: 1, 2, 1481, 2962

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110010010

Octal: 5622

Duodecimal: 186A

Hexadecimal: b92

Square: 8773444

Square Root: 54.42425929675111

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

Number of integer partitions of n whose mean is not an integer. A349156

Number of integer partitions of n such that every set of distinct parts has a different sum. A325862

Number of subset-sums of strict integer partitions of n. A365925

a(n) = 2·n² + 6·n + 2. A90288

Numbers k such that for any positive integers (a, b), if a·b = k then a + b is prime. A80715

Total number of largest parts in all compositions of n. A97979

Positive integers n such that n¹³ + 1 is semiprime. A105237

T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some other -k..k vector equals n. A226340

The first of three consecutive integers the sum of which is equal to the sum of three consecutive prime numbers. A298073

Table read by antidiagonals: T(n,k) (n >= 3, k >= 0) is the number of cells in a regular n-gon after k generations of mitosis. A350000