Properties of the Number 29212

Twenty-Nine Thousand Two Hundred Twelve

Basics

Value: 29211 → 29212 → 29213

Parity: even

Prime: No

Previous Prime: 29209

Next Prime: 29221

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 67 × 109

Divisors: 1, 2, 4, 67, 109, 134, 218, 268, 436, 7303

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111001000011100

Octal: 71034

Duodecimal: 14AA4

Hexadecimal: 721c

Square: 853340944

Square Root: 170.9151836438179

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

Sum of Gaussian binomial coefficients [n,k] for q=2 and k=0..n. A6116

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 or 2 neighboring 1s. A297314

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime. A251950

Expansion of (1-x)^-1/(1 - 2·x - x² + x³). A77850

Numbers k such that 141·2^k+1 is prime. A32420

Number of distinct hook length sets of partitions of n. A301512

Sum of numbers of ways to choose a k-chain of divisors of n - k, for k = 0..n - 1. A343940

Irregular triangular array read by rows. Let S_n be the set of labeled graphs G on [n] with 2-colored nodes where black nodes are only connected to white nodes and vice versa. Orient the edges in each such graph G from black to white. T(n,k) is the number of graphs in S_n containing exactly k descents, n>=0, 0<=k<=A002620(n). A381058

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,4,6,4,1. A221997

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime. A251944