Properties of the Number 63153

Sixty-Three Thousand One Hundred Fifty-Three

Basics

Value: 63152 → 63153 → 63154

Parity: odd

Prime: No

Previous Prime: 63149

Next Prime: 63179

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 2339

Divisors: 1, 3, 9, 27, 2339, 7017, 21051, 63153

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011010110001

Octal: 173261

Duodecimal: 30669

Hexadecimal: f6b1

Square: 3988301409

Square Root: 251.30260643296162

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

a(n) is the number of partitions of n with Durfee square of size <= 5. A330643

Number of 4-tuples (w,x,y,z) with all terms in {1,...,n} and w·x >= 2·y*z. A211809

Number of nX3 0..1 arrays with no more than floor(nX3/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222630

Number of (n+2) X (2+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0, 2, 5, 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0, 2, 5, 6 or 7. A252673

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 5 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 5 6 or 7. A252679

T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, vertical or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222635

Dimension of the space of weight 2n cusp forms for Gamma₀( 85 ). A63153