Properties of the Number 61312

Sixty-One Thousand Three Hundred Twelve

Basics

Value: 61311 → 61312 → 61313

Parity: even

Prime: No

Previous Prime: 61297

Next Prime: 61331

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁷ × 479

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 479, 958

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110111110000000

Octal: 167600

Duodecimal: 2B594

Hexadecimal: ef80

Square: 3759161344

Square Root: 247.61260064867457

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 ∏_n>=1 (1 - 2^n-1*xⁿ) * (1 + 2^n-1*xⁿ)². A370337

Number of columns with an even sum in all 2-compositions of n. A 2-composition of n is a nonnegative matrix with two rows, such that each column has at least one nonzero entry and whose entries sum up to n. A181328

Expansion of tan(x)/(1+x). A9753

Self-convolution of A092684. A100938

Complete list of solutions to y² + y = x³ - 525x + 10156 with y > 0; sequence gives positive y values. A317053

Triangle T[n,m]: T[n,-1] = 0; T[0,0] = 0; T[n,0] = n·n!; T[n,m] = T[n,m-1] - T[n-1,m-1]. A61312

a(n) = A246031(2ⁿ-1). A246032

Number of 4Xn 0..1 arrays avoiding 0 1 0 horizontally and 0 1 1 vertically. A207001

Number of (n+1)X(3+1) 0..2 arrays with the minimum plus the maximum unequal to the lower median plus the upper median in every 2X2 subblock. A235906

Triangle read by rows in which row n lists the closest integers to diagonal lengths of regular n-gon with unit edge length, n >= 4. A337301