Properties of the Number 42136

Forty-Two Thousand One Hundred Thirty-Six

Basics

Value: 42135 → 42136 → 42137

Parity: even

Prime: No

Previous Prime: 42131

Next Prime: 42139

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 23 × 229

Divisors: 1, 2, 4, 8, 23, 46, 92, 184, 229, 458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010010011000

Octal: 122230

Duodecimal: 20474

Hexadecimal: a498

Square: 1775442496

Square Root: 205.2705531731232

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

Convolution of A000203 with itself. A385

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays x(i,j) with row sums sum{j³*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i³*x(i,j), i=1..n+1} nondecreasing. A232756

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 31 ones. A31799

Numbers k such that k*∑_d∣k 1/σ(d) is an integer. A69166

Number of (n+1)X(1+1) 0..3 arrays x(i,j) with row sums sum{j³*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i³*x(i,j), i=1..n+1} nondecreasing. A232754

Numbers n such that 183·2ⁿ-1 is prime. A50843

Irregular triangle read by rows: centered moments of the random Laplacian spectral distribution. A294441

Numerators of continued fraction convergents to sqrt(593). A42136

Number of (2+2)X(n+2) 0..1 arrays with each row divisible by 5 and column not divisible by 5, read as a binary number with top and left being the most significant bits. A262797

Number of (n+2)X(2+2) 0..1 arrays with each row and column not divisible by 5, read as a binary number with top and left being the most significant bits. A263034