Properties of the Number 10576

Ten Thousand Five Hundred Seventy-Six

Basics

Value: 10575 → 10576 → 10577

Parity: even

Prime: No

Previous Prime: 10567

Next Prime: 10589

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 661

Divisors: 1, 2, 4, 8, 16, 661, 1322, 2644, 5288, 10576

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101010000

Octal: 24520

Duodecimal: 6154

Hexadecimal: 2950

Square: 111851776

Square Root: 102.83968105745953

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 T(n,k) of k up, k down permutations of [n]; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A229892

Number of anisohedral polyhexes with n cells. A75215

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having equal diagonal elements or equal antidiagonal elements. A203796

Number of ways to write n as an ordered sum of 5 prime powers (including 1). A341134

a(n) = sum of the perimeters of the Ferrers boards of the partitions of n. Also, sum of the perimeters of the diagrams of the regions of the set of partitions of n. A278355

Triangle read by rows: this is a variant of A008280 in which 2 rows go from left to right, 2 from right to left, 2 from left to right, etc. A58257

The 2-Up sequence: formed from final entries in rows of A058257. A58258

Number T(n,k) of sets of nonempty words with a total of n letters over k-ary alphabet such that for k>0 the k-th letter occurs at least once and within each word every letter of the alphabet is at least as frequent as the subsequent alphabet letter; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A319498

The sums of pairs of adjacent terms are the odd palindromic primes in ascending order. A181883

The maximum possible number of rooted triples consistent with any galled-tree (level-1 phylogenetic network) containing exactly n leaves. A216499