Properties of the Number 35037

Thirty-Five Thousand Thirty-Seven

Basics

Value: 35036 → 35037 → 35038

Parity: odd

Prime: No

Previous Prime: 35027

Next Prime: 35051

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 229

Divisors: 1, 3, 9, 17, 51, 153, 229, 687, 2061, 3893

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100011011101

Octal: 104335

Duodecimal: 18339

Hexadecimal: 88dd

Square: 1227591369

Square Root: 187.18172987767795

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

a(n) = n*(n + 1)*(3·n² + 3·n - 2)/8. A236770

Numbers which are the sum of two positive cubes and divisible by 17. A99178

Number of n X 2 binary arrays with all 1s connected, a path of 1s from left column to right column, and no 1 having more than two 1s adjacent. A163723

Expansion of (1-x)²*(1-3·x)/(1-9·x+28·x²-35·x³+15·x⁴-x⁵). A220948

Square array T, read by antidiagonals: T(n,k) = 0 if n-k >= 5 or if k-n >= 6, T(4,0) = T(3,0) = T(2,0) = T(1,0) = T(0,0) = T(0,1) = T(0,2) = T(0,3) = T(0,4) = T(0,5) = 1, T(n,k) = T(n-1,k) + T(n,k-1). A223968

Pentagonal numbers (A000326) that are the sum of twelve consecutive pentagonal numbers. A259404

Fourier coefficients of E_γ,2²*E_0,4. A35037