Properties of the Number 19632

Nineteen Thousand Six Hundred Thirty-Two

Basics

Value: 19631 → 19632 → 19633

Parity: even

Prime: No

Previous Prime: 19609

Next Prime: 19661

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 409

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110010110000

Octal: 46260

Duodecimal: B440

Hexadecimal: 4cb0

Square: 385415424

Square Root: 140.11423910509595

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

Smallest number at distance n from nearest prime. A51652

Number of n X n Fishburn matrices with entries in the set {0,1,2}. A289314

a(n) = A273059(4n+3). A275919

Cascadence of (1+2x)²; a triangle, read by rows of 2n+1 terms, that retains its original form upon convolving each row with [1,4,4] and then letting excess terms spill over from each row into the initial positions of the next row such that only 2n+1 terms remain in row n for n>=0. A120914

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays x(i,j) with row sums sum{j⁴*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i⁴*x(i,j), i=1..n+1} nondecreasing. A232852

Smallest number at distance 2n+1 from nearest prime. A51729

a(n) is the smallest number for which the prime distance A051699 is equal to n. A77019

Number A(n,k) of n X n Fishburn matrices with entries in the set {0,1,...,k}; square array A(n,k), n>=0, k>=0, read by antidiagonals. A369415

Number of configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in the center. A89474

Number of normal generalized Young tableaux of size n with all rows and columns weakly increasing and all regions non-singleton skew-partitions. A299967