Properties of the Number 33798

Thirty-Three Thousand Seven Hundred Ninety-Eight

Basics

Value: 33797 → 33798 → 33799

Parity: even

Prime: No

Previous Prime: 33797

Next Prime: 33809

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 43 × 131

Divisors: 1, 2, 3, 6, 43, 86, 129, 131, 258, 262

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1000010000000110

Octal: 102006

Duodecimal: 17686

Hexadecimal: 8406

Square: 1142304804

Square Root: 183.842323745105

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 every element unequal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A317036

Number of length 6 1..(n+2) arrays with no leading or trailing partial sum equal to a prime. A254209

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A317032

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero. A317035

Least index a(n) such that the sequences b(n,m) from A334539 are purely periodic after a(n). A335296

G.f. A(x) satisfies A(x) = A(x²) + x·A(x²)³. A393195

Number of partitions of 2·n in which (number of odd parts) / (number of even parts) = 2/3. A393517

T(n,k) = number of length n 1..(k+2) arrays with no leading or trailing partial sum equal to a prime. A254204

Product t2(q^d); d | 39, where t2 = theta2(q)/(2·q^1/4). A33798