Properties of the Number 9927

Nine Thousand Nine Hundred Twenty-Seven

Basics

Value: 9926 → 9927 → 9928

Parity: odd

Prime: No

Previous Prime: 9923

Next Prime: 9929

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1103

Divisors: 1, 3, 9, 1103, 3309, 9927

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011011000111

Octal: 23307

Duodecimal: 58B3

Hexadecimal: 26c7

Square: 98545329

Square Root: 99.6343314324937

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 compositions (ordered partitions) of n into square parts (A000290) such that no two adjacent parts are equal (Carlitz compositions). A301503

Number of integer partitions of n whose parts do not have choosable sets of integer partitions. A387134

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 3 5 6 or 8 and every 3X3 column and antidiagonal sum not equal to 0 3 5 6 or 8. A252615

Numbers k such that prime(k) + prime(k+1) is a square. A64397

Numbers without comma-successors: these are the numbers k such that if the commas sequence A121805 is started at k instead of 1, there is no second term. A367341

Number of integer partitions of n with all equal lengths of maximal runs of consecutive parts decreasing by 1 but not by 0. A384904

a(n) = floor(n*(n-1)*(n-2)/24). A11842

Eigenvector of triangle A119245, so that a(n) = ∑_{k=0..floor(n/2)} A119245(n,k)*a(k). A119244

Sum of the first n n-digit primes less n·10^n-1. A114053

Composite numbers n such that 8·n²-2·n-1 divides the primitive part U(n) of Fibonacci(n). A159234