Properties of the Number 40337

Forty Thousand Three Hundred Thirty-Seven

Basics

Value: 40336 → 40337 → 40338

Parity: odd

Prime: No

Previous Prime: 40289

Next Prime: 40343

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 11 × 19 × 193

Divisors: 1, 11, 19, 193, 209, 2123, 3667, 40337

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001110110010001

Octal: 116621

Duodecimal: 1B415

Hexadecimal: 9d91

Square: 1627073569

Square Root: 200.84073292039142

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

Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m·k + 1)*T(n-1, k, m) + m·f(n,k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1, f(n, k) = 2^k if k <= floor(n/2) otherwise 2^n-k, and m = 1, read by rows. A157268

a(n) = ∑_i=0..n digsum₆(i)⁴, where digsum₆(i) = A053827(i). A231675

Expansion of ∏_k>=0 1/(1-x^4·k+3)^4·k+3. A285131

Expansion of ∏_k>=0 1/(1 + x^4·k+3)^4·k+3. A285311

Number of partitions n such that the multiplicity of the number of even parts is a part. A240540

7·x - 1 Collatz-type sequence starting with a(0) = 11. A287330

Multiplicity of highest weight (or singular) vectors associated with character chi₆₇ of Monster module. A34455

Continued fraction for sqrt(356). A40337