Properties of the Number 34041

Thirty-Four Thousand Forty-One

Basics

Value: 34040 → 34041 → 34042

Parity: odd

Prime: No

Previous Prime: 34039

Next Prime: 34057

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 1621

Divisors: 1, 3, 7, 21, 1621, 4863, 11347, 34041

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010011111001

Octal: 102371

Duodecimal: 17849

Hexadecimal: 84f9

Square: 1158789681

Square Root: 184.50203250912983

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 0..3 colorings of an nx(k+1) array circular in the k+1 direction with new values 0..3 introduced in row major order. A214112

Triangle read by rows, T(n,k) = (2^k-1) * T(n-1,k) + T(n-1,k-1). A139382

Expansion of 1/((1-x)*(1-3·x)*(1-7·x)). A16212

a(n) = 4·n³ + 5·n² + 2·n + 1. A204674

Number of partitions p of n such that median(p) <= multiplicity(min(p)). A240213

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where A(n,k) = ∑_j=0..n k^j * binomial(n,j) * Catalan(j+1). A386408

Expansion of 1/((1-x)(1-4x)(1-5x)(1-10x)). A21774

a(n) = ceiling(A117791(n)/2). A173696

Number of 0..3 colorings on an nX7 array circular in the 7 direction with new values 0..3 introduced in row major order. A214110

Number of 0..3 colorings of a 2X(n+1) array circular in the n+1 direction with new values 0..3 introduced in row major order. A214113