Properties of the Number 31638

Thirty-One Thousand Six Hundred Thirty-Eight

Basics

Value: 31637 → 31638 → 31639

Parity: even

Prime: No

Previous Prime: 31627

Next Prime: 31643

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5273

Divisors: 1, 2, 3, 6, 5273, 10546, 15819, 31638

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111101110010110

Octal: 75626

Duodecimal: 16386

Hexadecimal: 7b96

Square: 1000963044

Square Root: 177.87073958355265

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

Pentanacci numbers: a(n) = a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) for n>4 and with a(0)=-2, a(1)=-1, a(2)=0, a(3)=1, a(4)=2. A135055

Indices k such that A019326(k)=φ[k](8) is prime, where φ is a cyclotomic polynomial. A138938

Numbers that are the sum of 10 consecutive primes and also the sum of 10 consecutive semiprimes. A284102

Number of 7 X 7 arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to n. A156392

Number of n X n arrays of squares of integers, symmetric about both diagonal and antidiagonal, with all rows summing to 20. A156473

Periods associated with A217611. A217646

Number of domicule tilings of a 6 X n grid. A239268

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 50. A31638