Properties of the Number 40075

Forty Thousand Seventy-Five

Basics

Value: 40074 → 40075 → 40076

Parity: odd

Prime: No

Previous Prime: 40063

Next Prime: 40087

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 ² × 7 × 229

Divisors: 1, 5, 7, 25, 35, 175, 229, 1145, 1603, 5725

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110010001011

Octal: 116213

Duodecimal: 1B237

Hexadecimal: 9c8b

Square: 1606005625

Square Root: 200.18741219167603

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 twice-partitions of type (Q,P,Q) and weight n. A279790

Number of partitions of 2n in which each odd part has even multiplicity and each even part has odd multiplicity. A100847

a(n) = (number of compositions of n into odd parts) - (number of compositions of n into distinct parts). A282694

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 0, 1), (1, 0, 0), (1, 1, 1)}. A150697

5-fold convolution of A000302 (powers of 4); expansion of 1/(1-4·x)⁵. A40075