Properties of the Number 84000

Eighty-Four Thousand

Basics

Value: 83999 → 84000 → 84001

Parity: even

Prime: No

Previous Prime: 83987

Next Prime: 84011

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 ³ × 7

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10100100000100000

Octal: 244040

Duodecimal: 40740

Hexadecimal: 14820

Square: 7056000000

Square Root: 289.8275349237888

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

Triangle read by rows: T(n,k) is the number of labeled 2-connected planar graphs with n nodes and k edges, n >= 3, n <= k <= 3(n-2). A100960

a(n) = 8·7*6·5*4·3*2·1 + 16·15·14·12·11·10·9 + ... + (up to the n-th term). A319872

a(n) = n*(n - 1)³/2. A19582

Number of 3-voter voting schemes with n linearly ranked choices. A7009

a(n) = (2n)!*∑_i=1..n 1/i. A46673

Triangular array T(n,k) giving number of 2-connected graphs with n labeled nodes and k edges (n >= 3, n <= k <= n(n-1)/2). A123534

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one. A237494

Numbers n such that there are three distinct triples (k, k+n, k+2n) of squares. A222154

Largest achievable determinant of a 4 X 4 matrix whose elements are the 16 consecutive integers n-15,...,n. A97696

a(n) = n! * ∑_{k=1..floor(n/2)} 1/k. A101609