Properties of the Number 31971

Thirty-One Thousand Nine Hundred Seventy-One

Basics

Value: 31970 → 31971 → 31972

Parity: odd

Prime: No

Previous Prime: 31963

Next Prime: 31973

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 10657

Divisors: 1, 3, 10657, 31971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110011100011

Octal: 76343

Duodecimal: 16603

Hexadecimal: 7ce3

Square: 1022144841

Square Root: 178.8043623628909

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

The sequence solves the following problem: find all the pairs (i,j) such that i divides 1+j+j² and j divides 1+i+i². In fact, the pairs (a(n),a(n+1)), n>0, are all the solutions. A101368

Number of compositions of n into parts with multiplicity not larger than 9. A243087

Numerators of continued fraction convergents to sqrt(426). A41810

Ceiling of γ(n + 11/12)/γ(11/12). A20091

Array of triples (x,y,z) satisfy the Diophantine equation (x+y)² + (y+z)² + (z+x)² = 12·x*y·z, 1 <= x <= y <= z. (sorted by z). A351372

Sorted list of nonzero numbers x, y, z that occur in solutions to the equation (x + y)² + (y + z)² + (z + x)² = 12·x*y·z. A357749

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 499", based on the 5-celled von Neumann neighborhood. A272562

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 627", based on the 5-celled von Neumann neighborhood. A273276

Triangle of integers related to generalized Markov numbers, read by rows. A357870

a(n) = ∑_k=1..n kⁿ. A31971