Properties of the Number 8427

Eight Thousand Four Hundred Twenty-Seven

Basics

Value: 8426 → 8427 → 8428

Parity: odd

Prime: No

Previous Prime: 8423

Next Prime: 8429

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 53 ²

Divisors: 1, 3, 53, 159, 2809, 8427

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000011101011

Octal: 20353

Duodecimal: 4A63

Hexadecimal: 20eb

Square: 71014329

Square Root: 91.7986928011505

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

Least k such that there are exactly n ways to choose a sequence of divisors, one of each element of the multiset of prime indices of k (with multiplicity). A355732

a(n) = a(n-1) + a(n-6), with a(i) = 1 for i = 0..5. A5708

Numbers m such that there are precisely 3 groups of order m. A55561

T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row not one larger and in every column one larger mod 3 than the previous repeated value, and upper left element zero. A268092

T(n,k)=Number of nXk 0..1 arrays with every repeated value in every row and column unequal to the previous repeated value, and new values introduced in row-major sequential order. A267644

Numbers p²*q, p > q odd primes such that q divides p+1. A350245

T(n,k)=Number of nXk 0..2 arrays with every repeated value in every row and column one larger mod 3 than the previous repeated value, and upper left element zero. A267952

Number of 3-colored generalized Frobenius partitions of n. A53762

3p² where p runs through the primes. A79705

T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of two, with rows and columns of the latter in lexicographically nondecreasing order. A227103