Properties of the Number 65421

Sixty-Five Thousand Four Hundred Twenty-One

Basics

Value: 65420 → 65421 → 65422

Parity: odd

Prime: No

Previous Prime: 65419

Next Prime: 65423

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 2423

Divisors: 1, 3, 9, 27, 2423, 7269, 21807, 65421

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111111110001101

Octal: 177615

Duodecimal: 31A39

Hexadecimal: ff8d

Square: 4279907241

Square Root: 255.77529200452494

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 integer partitions of n having a permutation with all equal run-lengths. A383013

Number of quadrilateral regions in a "frame" of size n X n (see Comments in A331776 for definition), divided by 8. A332596

Triangle read by rows: the n-th row contains n numbers sorted in decreasing value, each build by dropping a different number from the sequence [n,n-1,n-2,....,1] and concatenating the n-1 others. By definition the first row contains 0. A81541

G.f.: x = ∑_n>=1 a(n)*xⁿ/(1 + n*(n+1)/2·x)ⁿ. A196304

Dealing cards in a game of solitaire. A71761

Decimal expansion of Viggo Brun's constant B, also known as the twin primes constant B₂: Sum (1/p + 1/q) as (p,q) runs through the twin primes. A65421

Number of strict integer partitions of n where all parts have neighbors. A356606

Triangle read by rows where T(n,k) is the number of strict integer partitions of 2n with reverse-alternating sum 2k. A344649

Number of strict integer partitions of 2n with reverse-alternating sum 4. A343941

The simple continued fraction expansion of F(x) := ∏_{n >= 0} (1 - x^4·n+3)/(1 - x^4·n+1) when x = (1/2)*(9 - sqrt(77)). A221367