Properties of the Number 13742

Thirteen Thousand Seven Hundred Forty-Two

Basics

Value: 13741 → 13742 → 13743

Parity: even

Prime: No

Previous Prime: 13729

Next Prime: 13751

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 6871

Divisors: 1, 2, 6871, 13742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010110101110

Octal: 32656

Duodecimal: 7B52

Hexadecimal: 35ae

Square: 188842564

Square Root: 117.22627691776277

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

Sum of the squarefree parts of the partitions of n into 8 parts. A309484

G.f. A(x) satisfies: (1 + x) = A(x)*A(x²)²*A(x³)³*A(x⁴)⁴* ... *A(x^k)^k* ... A307649

a(n) = A027082(n, n+2). A27083

Row sums of triangle A179901. A179902

a(n) = 12·n + 7ⁿ - 5ⁿ. A121202

Numerator of the contraharmonic mean of the first n primes. A296199

Bond percolation series for mean cluster size on directed cubic lattice. A6810

a(0) = 1, a(1) = 2, a(2) = 5; for n >= 3, a(n) = a(n - 1) - 2·a(n - 2) + a(n - 3). A121311

Numbers k such that (58·10^k - 1)/3 is prime. A281169

Numbers k such that k and 4k, taken together, contain all digits 1 though 9 at least once. A346135