Properties of the Number 8484

Eight Thousand Four Hundred Eighty-Four

Basics

Value: 8483 → 8484 → 8485

Parity: even

Prime: No

Previous Prime: 8467

Next Prime: 8501

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 101

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100100100

Octal: 20444

Duodecimal: 4AB0

Hexadecimal: 2124

Square: 71978256

Square Root: 92.10863151735563

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

G.f. A(x,y) satisfies: A( x - y·A(x,y)², y) = x + (1-y)*A(x,y)², where the coefficients T(n,k) of xⁿ*y^k form a triangle read by rows n>=1, for k=0..n-1. A277295

Number of partitions of n in which the sequence of the sum of the same summands is increasing. A304428

A partition product of Stirling₁ type [parameter k = 4] with biggest-part statistic (triangle read by rows). A157394

A partition product of Stirling₁ type [parameter k = -4] with biggest-part statistic (triangle read by rows). A157384

Number of different multisets that can be obtained by choosing a prime index (or a prime factor) of each integer from 2 to n. A355746

A partition product of Stirling₂ type [parameter k = -4] with biggest-part statistic (triangle read by rows). A157398

A partition product of Stirling₂ type [parameter k = 4] with biggest-part statistic (triangle read by rows). A157404

Triangle read by rows: T(n,k) is the number of oriented colorings of the facets of a regular n-dimensional orthotope using exactly k colors. Row n has 2n columns. A325008

Triangle read by rows: T(n,k) is the number of unoriented colorings of the facets of a regular n-dimensional orthotope using exactly k colors. Row n has 2n columns. A325009

Triangle read by rows: T(n,k) is the number of achiral colorings of the facets of a regular n-dimensional orthotope using exactly k colors. Row n has 2n columns. A325011