Properties of the Number 16240

Sixteen Thousand Two Hundred Forty

Basics

Value: 16239 → 16240 → 16241

Parity: even

Prime: No

Previous Prime: 16231

Next Prime: 16249

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 5 × 7 × 29

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11111101110000

Octal: 37560

Duodecimal: 9494

Hexadecimal: 3f70

Square: 263737600

Square Root: 127.43625857659192

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

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles, including fixed points. A164998

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254168

Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives numbers belonging to cycles of length greater than 1. A165000

A triangle of numbers related to triangle A030524. A49352

Regular triangle where T(n,k) is the number of pairs of set partitions of {1,...,n} with meet {{1},...,{n}} and join of length k. A318389

Least n-bit number whose binary representation's substrings represent the maximal number (A112509(n)) of distinct integers. A112510

9-step Fibonacci sequence starting with 0,0,0,0,0,0,0,1,0. A251746

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal median nondecreasing horizontally and vertically. A254457

Let h(m) denote the sequence whose n-th term is Sum__{k=0..n} (k+1)^m*T(n,k)², where T(n,k) is the Catalan triangle A039598. This is h(5). A228331

a(n) = 2·n*(n+1)*(n+2)/3. A210440