Properties of the Number 40117

Forty Thousand One Hundred Seventeen

Basics

Value: 40116 → 40117 → 40118

Parity: odd

Prime: No

Previous Prime: 40111

Next Prime: 40123

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 11 × 521

Divisors: 1, 7, 11, 77, 521, 3647, 5731, 40117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1001110010110101

Octal: 116265

Duodecimal: 1B271

Hexadecimal: 9cb5

Square: 1609373689

Square Root: 200.29228642161934

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

Numbers k such that 2^k - 13 is prime. A96818

Numbers k such that prime(k+1) == 5 (mod k). A105329

Number of permutations of 1..n with displacements restricted to {-5,-4,-2,0,1,3}. A189590

Draw a line through every pair of points with coordinates (x, 1) and (x', 2) with x, x' in 1..n, and then count the number of intersection points above the line y = 2. A92275

Number of (n+1) X (4+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253491

Number of (6+1) X (n+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253500

Numbers k such that 135·2^k-1 is prime. A50593

Primes congruent to 5 (mod 12). Also primes p such that x⁴ = 9 has no solution mod p. A40117

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock diagonal minus antidiagonal sum nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A253495