Properties of the Number 28701

Twenty-Eight Thousand Seven Hundred One

Basics

Value: 28700 → 28701 → 28702

Parity: odd

Prime: No

Previous Prime: 28697

Next Prime: 28703

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1063

Divisors: 1, 3, 9, 27, 1063, 3189, 9567, 28701

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000000011101

Octal: 70035

Duodecimal: 14739

Hexadecimal: 701d

Square: 823747401

Square Root: 169.413694841946

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

a(n) = ∑_k=0..n binomial(4·n+1,k) * binomial(4·n-k-1,n-k). A386834

a(n)= 3·a(n-3) +3·a(n-6) +a(n-9). A109528

a(n) = 2*(n-1) + Fibonacci(n). A129728

Number of permutations of 1..n avoiding adjacent step pattern up, down, up, up. A177521

Triangle read by rows: Pascal's triangle (A007318) times the Fibonacci triangle (A139375). A201165

G.f. satisfies: A(x) = exp( ∑_n>=1 [∑_k=0..3·n binomial(3·n,k)² * x^k] / A(x)ⁿ * xⁿ/n ). A255839

a(n)= 3·a(n-3) +3·a(n-6) +a(n-9). A109529

a(n)= 3·a(n-3) +3·a(n-6) +a(n-9). A109530

a(n) = 3·a(n-3) + 3·a(n-6) + a(n-9) for n>8, a(0)=0, a(1)=a(2)=1, a(3)=a(4)=2, a(5)=3, a(6)=7, a(7)=9, a(8)=11. A237988

Number of n X 3 nonnegative integer arrays with upper left 0 and lower right its king-move distance away minus 2 and every value increasing by 0 or 1 with every step right, diagonally se or down. A252978