Properties of the Number 13035

Thirteen Thousand Thirty-Five

Basics

Value: 13034 → 13035 → 13036

Parity: odd

Prime: No

Previous Prime: 13033

Next Prime: 13037

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 11 × 79

Divisors: 1, 3, 5, 11, 15, 33, 55, 79, 165, 237

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011101011

Octal: 31353

Duodecimal: 7663

Hexadecimal: 32eb

Square: 169911225

Square Root: 114.17092449481173

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

Integers that are Rhonda numbers to base 30. A255736

Number of ordered rooted trees with n edges such that the rightmost leaf of each subtree is at even level. Equivalently, number of Dyck paths of semilength n with no return descents of odd length. A33297

Third accumulation array, T, of the natural number array A000027, by antidiagonals. A185508

Number of ways to split an integer partition of n into contiguous subsequences with weakly increasing sums. A336136

Maximal number of right triangles in n turns of Pythagoras's snail. A137515

Positive numbers having the same set of digits in base 7 and base 10. A37440

Let n = a_1a_2...a_k, where the a_i are digits. a(n) = least multiple of n of the type b_1a_1b_2a_2...a_kb_k+1, obtained by inserting single digits b_i in the gaps and both ends; 0 if no such number exists. A110735

Number of partitions of n that have odd sized Ferrers matrix. A238944

Indices of zeros in A269783. A269967

Number of ways of placing n non-attacking wazirs on a 3 X n board. A371978