Properties of the Number 10728

Ten Thousand Seven Hundred Twenty-Eight

Basics

Value: 10727 → 10728 → 10729

Parity: even

Prime: No

Previous Prime: 10723

Next Prime: 10729

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 149

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100111101000

Octal: 24750

Duodecimal: 6260

Hexadecimal: 29e8

Square: 115089984

Square Root: 103.57605900979242

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

Numbers n such that the Reverse and Add! trajectory of n (presumably) does not reach a palindrome and does not join the trajectory of any term m < n. A63048

Concatenation of n-th prime and n in decimal notation. A75110

Number of heptagons that can be formed with perimeter n. A288253

Numbers k such that the Reverse and Add! trajectory of k (presumably) does not reach a palindrome (with the exception of k itself) and does not join the trajectory of any term m < k. A88753

The records for distance squared for step lengths between adjacent primes in A330979, the visited primes for a walk stepping to the closest unvisited prime on the Ulam Spiral. A331027

Number of (w,x,y,z) with all terms in {1,...,n} and median=mean. A212133

Square array T(n, k), n >= 1, k >= 1, read by antidiagonals, of the least numbers whose symmetric representation of σ instantiate the unimodal width pattern 1, 2, ..., n, ..., 2, 1 repeated k times separated by instances of width 0. A367377

Numbers k of the earliest occurrence of widths patterns in the symmetric representation of σ listed in the ordering of patterns in A342595. A342596

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no equal horizontal or vertical neighbors. A264954

Number of endless self-avoiding walks of length n for the union jack lattice. A334332