Properties of the Number 65321

Sixty-Five Thousand Three Hundred Twenty-One

Basics

Value: 65320 → 65321 → 65322

Parity: odd

Prime: No

Previous Prime: 65309

Next Prime: 65323

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 83 × 787

Divisors: 1, 83, 787, 65321

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111100101001

Octal: 177451

Duodecimal: 31975

Hexadecimal: ff29

Square: 4266833041

Square Root: 255.5797331558197

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 partitions p of n such that (number of numbers of the form 5k + 2 in p) is a part of p. A241551

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

Dealing cards in a game of solitaire. A71761

Number of strict integer partitions of n containing all distinct divisors of all parts. A371128

Number of strict integer partitions y of n with a fixed point y(i) = i. A352829

Numbers n such that 54 'Reverse and Add' steps are needed to reach a palindrome. A65321

T(n,k)=Number of arrays of -k..k integers x(1..n) with every x(i) being in a substring of length 1 or 2 with sum zero. Array listed by antidiagonals. A193648

Number of strict integer partitions of n whose length is the sum of two distinct parts. A367395

Number of strict integer partitions of n such that the maximum is twice the median. A361850

Largest FDH number of a strict integer partition of n. A299758