Properties of the Number 40442

Forty Thousand Four Hundred Forty-Two

Basics

Value: 40441 → 40442 → 40443

Parity: even

Prime: No

Previous Prime: 40433

Next Prime: 40459

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 73 × 277

Divisors: 1, 2, 73, 146, 277, 554, 20221, 40442

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Representations

Binary: 1001110111111010

Octal: 116772

Duodecimal: 1B4A2

Hexadecimal: 9dfa

Square: 1635555364

Square Root: 201.10196418732463

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

Sums of nonconsecutive factorial numbers. A60112

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237974

a(n) = ∑_{k=0..floor(n/3)} (n-3·k)!. A358498

Least number k such that A304036(k) = n. A304039

a(n) is equal to the sum of the factorials of the digits of a(n-1), with a(1) = 0; each time a duplicated term appears, we replace it with the smallest integer not yet in the sequence and iterate. A351328

a(n) = ∑_t=0..n g(t)*g(n-t) where g(t) = A002121(t). A2122

Number of (n+1)X(1+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237967

Number of (n+1) X (4+1) 0..3 arrays with the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A237970

a(n) = cardinality of a certain set of natural numbers defined using A117818. A292772

a(n) = ∑_i=0..n T(i,n-i), array T as in A049723. A49724