Properties of the Number 29782

Twenty-Nine Thousand Seven Hundred Eighty-Two

Basics

Value: 29781 → 29782 → 29783

Parity: even

Prime: No

Previous Prime: 29761

Next Prime: 29789

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 14891

Divisors: 1, 2, 14891, 29782

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111010001010110

Octal: 72126

Duodecimal: 1529A

Hexadecimal: 7456

Square: 886967524

Square Root: 172.57462154094384

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+1)X(k+1) 0..3 arrays with every 2X2 subblock having two distinct values, and new values 0..3 introduced in row major order. A209814

G.f.: exp( ∑_n>=1 A002129(n²)*xⁿ/n ), where A002129(n) is the excess of sum of odd divisors of n over sum of even divisors of n. A225925

Indices of prime Lucas 5-step numbers, A074048. A105764

Number of parts in all partitions of 2n with largest multiplicity n. A320381

Semiprimes that are the sum of 10 consecutive primes. A185347

Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having two distinct values, and new values 0..3 introduced in row major order. A209807

Number of (n+1)X7 0..3 arrays with every 2X2 subblock having two distinct values, and new values 0..3 introduced in row major order. A209812

Cubes such that digits of cube root of n appear in both n^2/3 and n. A29782