Properties of the Number 33744

Thirty-Three Thousand Seven Hundred Forty-Four

Basics

Value: 33743 → 33744 → 33745

Parity: even

Prime: No

Previous Prime: 33739

Next Prime: 33749

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 19 × 37

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001111010000

Octal: 101720

Duodecimal: 17640

Hexadecimal: 83d0

Square: 1138657536

Square Root: 183.69540005128056

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

Number of stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below. A1524

Coefficients in expansion of Eisenstein series -q·E'_2. A76835

Number of boron trees with n nodes, i.e. n-node rooted trees with degree <= 3 at root and out-degree <= 2 elsewhere. A671

Number of n-dimensional partitions of 6. A42984

a(n) = 2·n*(n+1)*(n+2)/3. A210440

Denominators of continued fraction convergents to sqrt(858). A42657

Partial sums of the even triangular numbers (A014494). A352115

Number of 4 X n 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302214

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, 0, 1), (0, 1, 0), (1, -1, 1), (1, 1, -1)}. A150264

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302212