Properties of the Number 84321

Eighty-Four Thousand Three Hundred Twenty-One

Basics

Value: 84320 → 84321 → 84322

Parity: odd

Prime: No

Previous Prime: 84319

Next Prime: 84347

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁵ × 347

Divisors: 1, 3, 9, 27, 81, 243, 347, 1041, 3123, 9369

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100101100001

Octal: 244541

Duodecimal: 40969

Hexadecimal: 14961

Square: 7110031041

Square Root: 290.38078448823023

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 integer partitions of n with a difference < -1 and a conjugate difference < -1. A350839

Arrange digits of cubes in descending order. A32554

Number of 4-length words w over n-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z. A213283

Largest composite number obtained by concatenation of parts of a distinct partition of n, or 0 if no such number exist. A110454

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where column k is the expansion of e.g.f. B(x)^k, where B(x) is the e.g.f. of A384757. A384758

Number of strict integer partitions of n containing all distinct divisors of all parts. A371128

Triangle read by rows where T(n,k) is the number of strict integer partitions of 2n with reverse-alternating sum 2k. A344649

Least number k such that between k! and (k+1)! there are n powers of 2 (each interval includes (k+1)! but not k!). A84321