Properties of the Number 28742

Twenty-Eight Thousand Seven Hundred Forty-Two

Basics

Value: 28741 → 28742 → 28743

Parity: even

Prime: No

Previous Prime: 28729

Next Prime: 28751

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7 × 2053

Divisors: 1, 2, 7, 14, 2053, 4106, 14371, 28742

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111000001000110

Octal: 70106

Duodecimal: 14772

Hexadecimal: 7046

Square: 826102564

Square Root: 169.5346572238255

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

Nearest integer to locations of increasingly large peaks of abs(ζ(0.5 + i·2*(π/log(2))*t)) for increasing real t. A117536

Expansion of 1/(1-2·x+x²+2·x³). A77942

Expansion of 1/(1+2·x+x²-2·x³). A77989

a(n) is the number of binary strings of length n whose shortest run of 1s is of length 3. A384155

A triangular array related to A077028 and distributing the values of A007582. A110552

Numbers whose base-13 representation has exactly 5 runs. A43660

G.f.: A(x,y) = exp( ∑_n>=1 [∑_k=0..n C(n,k)³*y^k] * xⁿ/n ) = ∑_n>=0,k=0..n T(n,k)*xⁿ*y^k, as a triangle of coefficients T(n,k) read by rows. A181143

Nonsquares mod 29. A28742

Number of nX4 0..1 arrays with every element unequal to 1, 2, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A316753