Properties of the Number 84090

Eighty-Four Thousand Ninety

Basics

Value: 84089 → 84090 → 84091

Parity: even

Prime: No

Previous Prime: 84089

Next Prime: 84121

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 5 × 2803

Divisors: 1, 2, 3, 5, 6, 10, 15, 30, 2803, 5606

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100001111010

Octal: 244172

Duodecimal: 407B6

Hexadecimal: 1487a

Square: 7071128100

Square Root: 289.98275810813305

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

Expansion of g.f. A(x) satisfying A(x) = 1 + 2·x*A(x)² - x·A(-x)². A368633

a(n) = 100·n² - 10. A158490

Limiting values of A136406: a(n) = A136406(m,m-n) for any m >= 2n. A137504

G.f.: ∏_k>=1 (1 + x^k) / (1 - x^k*(k+1/2)). A280422

Number of protruded partitions of n with largest part at most 6. A5407

Number of ways to place zero or more nonadjacent 0,0 1,0 2,1 3,1 4,2 5,2 6,3 7,3 polyhexes in any orientation on a planar nXnXn triangular grid. A155423

Numbers k such that k is divisible by 3 or the exponent of the highest power of 2 dividing k is odd. Complement of A084087. A84090

G.f. A(x) satisfies: A(x) = x + B(A(x))² such that B(x) = x + A(B(x))³, where B(x) is the g.f. of A263533. A263532

G.f. B(x) satisfies: B(x) = x + A(B(x))³ such that A(x) = x + B(A(x))², where A(x) is the g.f. of A263532. A263533