Properties of the Number 42252

Forty-Two Thousand Two Hundred Fifty-Two

Basics

Value: 42251 → 42252 → 42253

Parity: even

Prime: No

Previous Prime: 42239

Next Prime: 42257

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 503

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010100001100

Octal: 122414

Duodecimal: 20550

Hexadecimal: a50c

Square: 1785231504

Square Root: 205.55291289592566

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

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281056

Number of edges in the directed graph for the Reversed Zeckendorf game with starting number n. A389617

Structured pentagonal hexacontahedral numbers (vertex structure 16). A100169

Multiples of 3018. A86746

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 329", based on the 5-celled von Neumann neighborhood. A271275

Number of n X 3 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281051

Pentagonal numbers divisible by 4. A298397

a(n) is the number of different pairs of shortest paths in an n X n lattice going between opposite corners in opposite directions and not meeting at their middle point. A357603

Number of 8X8 arrays of squares of integers, symmetric under 90 degree rotation, with all rows summing to n. A156397

Number of senary sequences of length n such that no two consecutive terms have distance 1. A287806