Properties of the Number -45633

Forty-Five Thousand Six Hundred Thirty-Three

Basics

Value: -45634 → -45633 → -45632

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 41 × 53

Divisors: 1, 3, 7, 21, 41, 53, 123, 159, 287, 371

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -1011001001000001

Octal: -131101

Duodecimal: -224A9

Hexadecimal: -b241

Square: 2082370689

Square Root: 213.6188193956703

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

This table shows the coefficients of combinatorial formulas needed for generating the sequential sums of p-th powers of binomial coefficients C(n,7). The p-th row (p>=1) contains a(i,p) for i=1 to 7·p-6, where a(i,p) satisfies ∑_i=1..n C(i+6,7)^p = 8·C(n+7,8) * ∑_i=1..7·p-6 a(i,p) * C(n-1,i-1)/(i+7). A87111

Number of strict compositions of n with no three consecutive parts in arithmetic progression. A325849

Denominators of continued fraction convergents to sqrt(613). A42177

Number of length 4 1..(n+1) arrays with every leading partial sum divisible by 2 or 3. A257066

Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1100-1111-0010 pattern in any orientation. A146704

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 419", based on the 5-celled von Neumann neighborhood. A272046