Properties of the Number 17135

Seventeen Thousand One Hundred Thirty-Five

Basics

Value: 17134 → 17135 → 17136

Parity: odd

Prime: No

Previous Prime: 17123

Next Prime: 17137

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 23 × 149

Divisors: 1, 5, 23, 115, 149, 745, 3427, 17135

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001011101111

Octal: 41357

Duodecimal: 9ABB

Hexadecimal: 42ef

Square: 293608225

Square Root: 130.90072574283155

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

Positive integers i for which A112049(i) == 9. A112069

Numbers whose base-5 representation contains exactly three 0's and three 2's. A45187

a(n) = A108466(A025487). A108467

Number of 1X4 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 1 zero-sum 4-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192691

a(n) is the largest number that can be expressed as the sum of three triangular numbers in exactly n ways. A330810

Numbers k such that abs(A328258(k)) = abs(A328258(k+1)). A348586

Partial sums of A160120. A162778

The number of tilings of a 7 X (3n) floor with 1 X 3 trominoes. A236578

a(n) = (8·n + 5)¹¹. A17135

Number of length 5+1 0..n arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero. A250649