Properties of the Number 63219

Sixty-Three Thousand Two Hundred Nineteen

Basics

Value: 63218 → 63219 → 63220

Parity: odd

Prime: No

Previous Prime: 63211

Next Prime: 63241

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 1621

Divisors: 1, 3, 13, 39, 1621, 4863, 21073, 63219

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011011110011

Octal: 173363

Duodecimal: 30703

Hexadecimal: f6f3

Square: 3996641961

Square Root: 251.4338879308038

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 non-isomorphic multiset partitions of weight n in which all parts have the same size. A306017

a(n) = (2·n³ + 5·n² + 5·n)/2. A162267

Number of tree-factorizations of Heinz numbers of integer partitions of n. A331685

A000041(n)-A000010(n). A86739

a(n) = ∑_d∣n (-1)^ω(n/d) * φ(rad(n/d)) * p(d), where p = A000041 (partition numbers). A333697

Primes p such that A^p-1 == 1 (mod p²) for some A in the range 2 <= A <= p-1. A134307

Number of nX4 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281691

Dimension of the space of weight 2n cuspidal newforms for Gamma₀( 53 ). A63219