Properties of the Number 15728

Fifteen Thousand Seven Hundred Twenty-Eight

Basics

Value: 15727 → 15728 → 15729

Parity: even

Prime: No

Previous Prime: 15727

Next Prime: 15731

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 983

Divisors: 1, 2, 4, 8, 16, 983, 1966, 3932, 7864, 15728

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110101110000

Octal: 36560

Duodecimal: 9128

Hexadecimal: 3d70

Square: 247369984

Square Root: 125.41132325272706

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 partitions of n having positive odd rank (the rank of a partition is the largest part minus the number of parts). A101707

T(n,k) = Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock determinants differing from horizontal neighbors and permanents differing from vertical neighbors. A205894

T(n,k) = Number of n X k 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero. A278280

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents. A205293

Expansion of e.g.f. ∏_k>=1 (1 + log(1/(1 - x))^k). A320350

Number of compositions of n into parts with multiplicity not larger than 8. A243086

Number of (n+1)X2 0..2 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents. A205286

Partial sums of A267326. A264390

7·n analog to Keith numbers. A282762

Total number of composite parts in all partitions of n. A326981