Properties of the Number 40845

Forty Thousand Eight Hundred Forty-Five

Basics

Value: 40844 → 40845 → 40846

Parity: odd

Prime: No

Previous Prime: 40841

Next Prime: 40847

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 389

Divisors: 1, 3, 5, 7, 15, 21, 35, 105, 389, 1167

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111110001101

Octal: 117615

Duodecimal: 1B779

Hexadecimal: 9f8d

Square: 1668314025

Square Root: 202.10145966815776

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

Arithmetic derivative of the factorial base exp-function: a(n) = A003415(A276076(n)). A351950

Expansion of e.g.f. theta₃^-5/2. A15683

Arithmetic derivative of the prime-factorization representation of the n-th Stern polynomial: a(n) = A003415(A260443(n)). A278544

Number of walks within N² (the first quadrant of Z²) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, -1), (0, 1), (1, -1)}. A151375

Locations of records in A365196. A365239

Number of block-separated overpartitions of n. A390048

Continued fraction for sqrt(875). A40845

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 4,2,1,0,3 for x=0,1,2,3,4. A197202