Properties of the Number 34821

Thirty-Four Thousand Eight Hundred Twenty-One

Basics

Value: 34820 → 34821 → 34822

Parity: odd

Prime: No

Previous Prime: 34819

Next Prime: 34841

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 53 × 73

Divisors: 1, 3, 9, 53, 73, 159, 219, 477, 657, 3869

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100000000101

Octal: 104005

Duodecimal: 18199

Hexadecimal: 8805

Square: 1212502041

Square Root: 186.60385848100785

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 read by rows: T(n, k) = n! * 2^k * hypergeom([-k], [-n], 1/2). A374428

Square array, read by antidiagonals: form the Euler-Seidel matrix for the sequence {2^k*k!} and then divide column k by 2^k*k!. A143411

Number of primes of the form (x+1)⁷ - x⁷ less than 10ⁿ. A221977

a(n) = numerator of the continued fraction [1; 2², 3³, ..., nⁿ]. A61453

Sequence that except for initial 1 is the complement of its inverse Euler transform. A120538

Concatenations C1 and C2 are both prime (see the comment lines). A34821

Number of lattice paths from (0,0) to (n,n) using steps (1,0), (0,1), (1,1), (-1,1) and whose points lie entirely in the integer square of lattice points {(i,j): 0 <= i,j <= n}. A339654

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A316214