Properties of the Number 51072

Fifty-One Thousand Seventy-Two

Basics

Value: 51071 → 51072 → 51073

Parity: even

Prime: No

Previous Prime: 51071

Next Prime: 51109

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ⁷ × 3 × 7 × 19

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011110000000

Octal: 143600

Duodecimal: 25680

Hexadecimal: c780

Square: 2608349184

Square Root: 225.99115026920856

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

Dimensions of the irreducible representations of the simple Lie algebra of type E7 over the complex numbers, listed in increasing order. A121736

For 1<=x<=n, 1<=y<=n, write gcd(x,y) = u·x+v·y with u,v minimal; a(n) = sum of the values of u²+v². A345434

Numbers with prime factorization pqrs⁷. A190473

Consider primitive pairs of integers (b, c) with b > 0 such that x⁵ + b·x + c = 0 is irreducible and solvable by radicals: sequence gives values of c. A371554

Expansion of a Schwarzian ({f_27∣3, τ} / (4*π)²) in powers of q³. A62248

a(n) is the least positive integer such that the integer part of the arithmetic-geometric mean of a(n) and 1 is equal to 3ⁿ. A90856

a(n) = 4*(n¹ + 1!)*(n² + 2!)*(n³ + 3!)*(n⁴ + 4!)*(n⁵ + 5!)/5!. A131527

Numbers k such that k = Product (p_j^e_j) = Product (p_j*(e_j + 1)). A304410

θ series of laminated lattice LAMBDA₁₁^min. A6910

Expansion of (theta₃(z⁴)³ + theta₂(z⁴)³)³. A28696