Properties of the Number 10662

Ten Thousand Six Hundred Sixty-Two

Basics

Value: 10661 → 10662 → 10663

Parity: even

Prime: No

Previous Prime: 10657

Next Prime: 10663

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 1777

Divisors: 1, 2, 3, 6, 1777, 3554, 5331, 10662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110100110

Octal: 24646

Duodecimal: 6206

Hexadecimal: 29a6

Square: 113678244

Square Root: 103.25696102442683

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 distinct values taken by 3³^...³ (with n 3's and parentheses inserted in all possible ways). A3018

a(n) = ∑_k=0..n k^p*q^k, where p=3, q=-2. A232602

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5. A251905

G.f. A(x) satisfies A(x) = 1 + x*(1+x²)²*A(x)³. A385065

E.g.f. satisfies: A(x)² * log(A(x)) = 1 - exp(-x). A349656

Number of subsets of {1,2,...,n} whose sum is semiprime (cf. A001358, A064911). A181522

a(0) = 1; thereafter a(n) = 4·n² - 3·n + 2. A386486

Expansion of (1+x)^1/3/(1+x-18·x⁴)^1/3. A98537

Number of ordered triples (w,x,y) with all terms in {1,...,n} and 2w²<=x²+y². A211806

Number of n X 3 arrays with each row a permutation of 1..3 having at least as many downsteps as the preceding row, with rows in lexicographically nonincreasing order. A222001