Properties of the Number 42396

Forty-Two Thousand Three Hundred Ninety-Six

Basics

Value: 42395 → 42396 → 42397

Parity: even

Prime: No

Previous Prime: 42391

Next Prime: 42397

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 3533

Divisors: 1, 2, 3, 4, 6, 12, 3533, 7066, 10599, 14132

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010110011100

Octal: 122634

Duodecimal: 20650

Hexadecimal: a59c

Square: 1797420816

Square Root: 205.90288973202877

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

G.f. A(x) satisfies A(x) = (1 + x·A(x))² * (1 + 3·A(x)) / 4. A231553

Expansion of ∏_k>=1 (1/(1 + 3·x^k))^k. A261567

Number of tilings of a 5 X n rectangle using n pentominoes of shapes U, Y, Z. A352421

Exponential Riordan array (e^x, x·A000108(x)). A185946

Number of ordered full binary trees with labels from a set of at most n labels. A224500

Number of length n 0..3 arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244783

Number of nX4 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281396

Triangular array read by rows. T(n,k) is the number of partial functions on [n] with index k, n=0 implies k=1, otherwise n >= 1, 1 <= k <= n. A341093

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244788

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281400