Properties of the Number 31410

Thirty-One Thousand Four Hundred Ten

Basics

Value: 31409 → 31410 → 31411

Parity: even

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 5 × 349

Divisors: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101010110010

Octal: 75262

Duodecimal: 16216

Hexadecimal: 7ab2

Square: 986588100

Square Root: 177.22866585290316

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

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281936

a(n) is the number of squares <= 10ⁿ that are not higher powers, i.e., terms of A076467. A378168

The smallest number in base n such that two digits (and no fewer) need to be changed to get a prime. A370531

Numbers in A075728 which are not one less than some prime. A179232

Number of nX3 0..1 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281931

Number of nX6 0..1 arrays with no element equal to more than four of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281934

Expansion of g.f. A(x) satisfying A(x)² = A( x² + 2*(1+x)*A(x)³ ). A374566

Numbers k such that 2^k + 3·k is prime. A93988

Numbers k such that the continued fraction for sqrt(k) has even period 2·m and the m-th term of the periodic part is 7. A31410