Properties of the Number 29682

Twenty-Nine Thousand Six Hundred Eighty-Two

Basics

Value: 29681 → 29682 → 29683

Parity: even

Prime: No

Previous Prime: 29671

Next Prime: 29683

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 17 × 97

Divisors: 1, 2, 3, 6, 9, 17, 18, 34, 51, 97

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001111110010

Octal: 71762

Duodecimal: 15216

Hexadecimal: 73f2

Square: 881021124

Square Root: 172.28464818433474

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

Triangle T(n,k) in which n-th row lists the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216349

Triangle T(n,k) in which n-th row lists in increasing order the values of the n-th derivative at x=1 of all functions that are representable as x^x^...^x with n x's and parentheses inserted in all possible ways; n>=1, 1<=k<=A000081(n). A216350

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A299359

Number of partitions of n such that the (sum of distinct even parts) >= n/2. A284619

Sixth derivative of f_n at x=1, where f_n is the n-th of all functions that are representable as x^x^...^x with m>=1 x's and parentheses inserted in all possible ways. A215836

Number of partitions of n such that the (sum of distinct even parts) > n/2. A284618

Number of partitions of n into an even number of parts that are not multiples of 4. A339406

G.f.: A(x,y) = ∑_n>=0 n! * xⁿ*yⁿ * ∏_k=1..n (1 + k·x) / (1 + k·x*y + k²*x²*y). A221971

Numbers n such that both φ(n) and ψ(n) are perfect squares. A291549

Number of n X n symmetric binary matrices containing no more than one 1 in any 3 X 3 sub-block. A139009