Properties of the Number 10661

Ten Thousand Six Hundred Sixty-One

Basics

Value: 10660 → 10661 → 10662

Parity: odd

Prime: No

Previous Prime: 10657

Next Prime: 10663

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 1523

Divisors: 1, 7, 1523, 10661

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110100101

Octal: 24645

Duodecimal: 6205

Hexadecimal: 29a5

Square: 113656921

Square Root: 103.25211862233142

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 integer partitions of n having a unique mode equal to the mean, i.e., partitions whose mean appears more times than each of the other parts. A363723

a(n) = n*(n² - 6·n + 11)/6. A50407

Numbers k that divide the sum of digits of 13^k. A175525

Centered 13-gonal numbers. A69126

Number of distinct values taken by the entropy for permutations of [1..n], where the entropy of a permutation π is ∑_k=1..n (π(k)-k)². A126972

Number of partitions p of n such that median(p) < mean(p). A240217

Number T(n,k) of colored integer partitions of n using all colors of a k-set such that each block of part i with multiplicity j has a pattern of i·j colors in (weakly) increasing order; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A326500

a(n) = ∑_k=0..n 2^n-k * binomial(n+3,k+3) * binomial(2·k+6,k+6). A387273

Semiprimes in A054552. A113690

Potential magic constants of 7 X 7 magic squares composed of consecutive primes. A188536