Properties of the Number 312

Three Hundred Twelve

Basics

Value: 311 → 312 → 313

Parity: even

Prime: No

Previous Prime: 311

Next Prime: 313

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 13

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111000

Octal: 470

Duodecimal: 220

Hexadecimal: 138

Square: 97344

Square Root: 17.663521732655695

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

Expansion of ∏_k>=0 (1 + x^2k+1); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes. A700

Triangle read by rows: T(n,k) = ∑_j>=0 j!*T(n-j-1, k-1) for n >= 0, k >= 0. A84938

Average of twin prime pairs. A14574

Numbers in base 4. A7090

Number of partitions of n into parts each of which is used a different number of times. A98859

Number of ways of writing n as a sum of 4 squares; also θ series of four-dimensional cubic lattice Z⁴. A118

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

Nonnegative multiples of 6. A8588

Number of partitions of n into distinct parts >= 2. A25147

a(n) = n·d(n), where d(n) = number of divisors of n (A000005). A38040