Properties of the Number 31613

Thirty-One Thousand Six Hundred Thirteen

Basics

Value: 31612 → 31613 → 31614

Parity: odd

Prime: No

Previous Prime: 31607

Next Prime: 31627

Digit Sum: 14

Digital Root: 5

Palindrome: Yes

Factorization: 101 × 313

Divisors: 1, 101, 313, 31613

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101101111101

Octal: 75575

Duodecimal: 16365

Hexadecimal: 7b7d

Square: 999381769

Square Root: 177.80044994318772

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

Irregular array read by rows. a(n) is the largest element in the primitive Collatz-like 3x-k cycle associated with A226623(n). A226624

Palindromes with exactly 2 palindromic prime factors (counted with multiplicity), and no other prime factors. A46376

Let F(x) = 1 + 1·x + 4·x² + 10·x³ + ..., the g.f. for A000293 (solid partitions), and write F(x) = 1/∏_n>=1 (1 - xⁿ)^a(n). A37452

Base-10 palindromes that starts with 3. A43038

Palindromes with exactly 2 distinct palindromic prime factors. A46408

Conjectured record-breaking values, for ascending positive integers k, of the maximal element of the primitive cycles of positive integers under iteration by the 3x-k function. A226683

Palindromic composite numbers starting with a digit 3. A222726

Palindromes in base 10 >= 256 that remain palindromes when the digits are reversed in base 256. A253147

Composite palindromes with only palindromic prime factors whose sum is palindromic (counted with multiplicity). A46357

Composite palindromes whose divisors > 1 are all nontrivial palindromes (i.e., palindromes with at least two digits). A329100