Properties of the Number 84840

Eighty-Four Thousand Eight Hundred Forty

Basics

Value: 84839 → 84840 → 84841

Parity: even

Prime: No

Previous Prime: 84827

Next Prime: 84857

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 5 × 7 × 101

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100101101101000

Octal: 245550

Duodecimal: 41120

Hexadecimal: 14b68

Square: 7197825600

Square Root: 291.2730677560148

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

Recamán Fibonacci variation: a(1)=1; a(2)=2; for n > 2, a(n) = a(n-1)+a(n-2)-F(n) if that number is positive and not already in the sequence, otherwise a(n) = a(n-1)+a(n-2)+F(n) where F(n) denotes the n-th Fibonacci number. A79053

Triangle T where the g.f. of row n of T²ⁿ = (2n² + y)ⁿ for n>=0, as read by rows, where Tⁿ denotes the n-th matrix power of T. A177390

Triangular array T(n,k) giving number of alternating link diagrams with n >= 0 crossings, k = 0..[n/2] connected components and two external legs. A62038

Ninth diagonal (m=8) of triangle A084938; a(n) = A084938(n+8,n) = (n⁸ + 84·n⁷ + 3346·n⁶ + 84840·n⁵ + 1550689·n⁴ + 21632436·n³ + 224782284·n² + 1377648720·n)/40320. A90394

Number of alternating link diagrams with n crossings, 1 connected component and two external legs. A62386

Array a(m,n) (m>0, n>=0) of quotient of de Bruijn alternating sums of m-th powers of binomial coefficients, listed by ascending antidiagonals. A257050

Convolution of L(n+1) := A000204(n+1) (Lucas), n>=0, with L(n+3), n>=0. A67981

Numbers that can be expressed as the difference of the squares of primes in exactly nine distinct ways. A92005

List of numbers k whose consecutive digits increase or decrease by d-1, where d is the number of digits in k. A292439

Triangular array read by rows: T(n,k) is the number of ordered pairs of n-permutations that generate a group with exactly k orbits, 0 <= k <= n, n >= 0. A327547