Properties of the Number 29444

Twenty-Nine Thousand Four Hundred Forty-Four

Basics

Value: 29443 → 29444 → 29445

Parity: even

Prime: No

Previous Prime: 29443

Next Prime: 29453

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 17 × 433

Divisors: 1, 2, 4, 17, 34, 68, 433, 866, 1732, 7361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001100000100

Octal: 71404

Duodecimal: 15058

Hexadecimal: 7304

Square: 866949136

Square Root: 171.5925406304132

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

Number of permutations p of [n] with no fixed points and cyclic displacement of elements restricted by two: p(i)<>i and (i-p(i) mod n <= 2 or p(i)-i mod n <= 2). A260074

Sum of the fourth largest parts of the partitions of n into 9 parts. A326470

Irregular triangle read by rows: T(n,k) = total number of graceful labelings of connected graphs with n edges (n>=1) and k vertices (k>=1). A329790

a(n) = 10000·log(n) rounded to nearest integer. A4244

a(n) = floor(10000·log(n)). A4243

Let p(k) be the number of partitions of k (A000041); a(n) = ∑_{1<=k<=n, gcd(k,n)=1} p(k). A96223

Numbers k such that φ(k) and φ(k+1) are perfect powers (A001597). A332008

Numbers k >= 0 such that the interval [A000217(k), A000217(k + 1)] contains at least one Fibonacci number (A000045). A388653

Expansion of 1/((1-x⁸)(1-x⁹)(1-x¹¹)(1-x¹²)). A29444