Properties of the Number 84816

Eighty-Four Thousand Eight Hundred Sixteen

Basics

Value: 84815 → 84816 → 84817

Parity: even

Prime: No

Previous Prime: 84811

Next Prime: 84827

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ² × 19 × 31

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101101010000

Octal: 245520

Duodecimal: 41100

Hexadecimal: 14b50

Square: 7193753856

Square Root: 291.2318663882783

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

Number of directed Hamiltonian paths in the n-Hanoi graph. A137889

T(n,k)=Number of nXk 0..3 arrays with no more than floor(nXk/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222654

Composite numbers such that ∏_i=1..k (p_i/(p_i-1)) / ∑_i=1..k (p_i/(p_i-1)) is an integer, where p_i are the k prime factors of n (with multiplicity). A227034

Values of n such that (σ(σ(n))-φ(φ(n)))/n is an integer (the corresponding integral ratios are given in A136132). A136131

a(n) = n*(n + 1)*(17·n - 14)/6. A237617

Number of nX2 0..3 arrays with no more than floor(nX2/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..3 order. A222651

Least integers that satisfy sum(n>0,1/a(n)^z)=0, where a(1)=1, a(n+1)>a(n) and z=I·2. A84816