Properties of the Number 34489

Thirty-Four Thousand Four Hundred Eighty-Nine

Basics

Value: 34488 → 34489 → 34490

Parity: odd

Prime: No

Previous Prime: 34487

Next Prime: 34499

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 7 × 13 × 379

Divisors: 1, 7, 13, 91, 379, 2653, 4927, 34489

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011010111001

Octal: 103271

Duodecimal: 17B61

Hexadecimal: 86b9

Square: 1189491121

Square Root: 185.7121428447801

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)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array. A219002

E.g.f. A(x) satisfies A(x) = exp( 1/(1 - x/A(x)) - 1 ). A361095

T(n,k) is the number of triangular n X n X n arrays of occupancy after each element either stays or moves to some neighbor and with no occupancy greater than k. A217510

Total number of parts in all partitions of n with at least one distinct part. A220477

Unmatched value maps: number of 2 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 2 X n array. A219003

On a diagonally numbered square grid, with labels starting at 1, this is the number of steps that a (1,n) leaper makes before getting trapped when moving to the lowest available unvisited square, or -1 if it never gets trapped. A352730

Number of triangular n X n X n arrays of occupancy after each element either stays or moves to some neighbor and with no occupancy greater than 3. A217505

Number of n-colorings of the Walther Graph. A158347

Multiplicity of highest weight (or singular) vectors associated with character chi₁₀₁ of Monster module. A34489