Properties of the Number 29826

Twenty-Nine Thousand Eight Hundred Twenty-Six

Basics

Value: 29825 → 29826 → 29827

Parity: even

Prime: No

Previous Prime: 29819

Next Prime: 29833

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1657

Divisors: 1, 2, 3, 6, 9, 18, 1657, 3314, 4971, 9942

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010010000010

Octal: 72202

Duodecimal: 15316

Hexadecimal: 7482

Square: 889590276

Square Root: 172.70205557549104

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 (n+2) X (k+2) binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals. A202777

Number of non-isomorphic directed graphs where every vertex has outdegree 1, and no self-loops. A329426

Number of (n+2)X6 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals. A202773

Number of (n+2)X7 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals. A202774

Expansion of 1/(x¹⁰+x⁹-x⁷-x⁶-x⁵-x⁴-x³+x+1) (inverse of Salem polynomial). A29826

Even numbers k such that there is an odd prime p that divides σ(k), but valuation(k, p) differs from valuation(σ(k), p), and p does not divide A003961(k), where A003961 is fully multiplicative with a(p) = nextprime(p), and σ is the sum of divisors function. A351543