Properties of the Number 8354

Eight Thousand Three Hundred Fifty-Four

Basics

Value: 8353 → 8354 → 8355

Parity: even

Prime: No

Previous Prime: 8353

Next Prime: 8363

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 4177

Divisors: 1, 2, 4177, 8354

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000010100010

Octal: 20242

Duodecimal: 4A02

Hexadecimal: 20a2

Square: 69789316

Square Root: 91.40021881811882

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

Numbers that are the sum of 9 nonzero 8th powers. A3387

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281802

Beach-Williams Pell numbers of type 2p (p prime). A212074

a(n) = 25·n² - 36·n + 13. A154355

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 2 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 2 4 6 or 7. A252523

Expansion of 1/(1 - x - ∑_k>=2 prime(k-1)*x^k). A300662

Sum of the first n palindromes (A002113). A46489

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281129

Expansion of (1+2·x)/((1+x)*(1-x²-x³)). A98601

Numbers missing from A134419 despite satisfying the necessary congruence conditions (see comments). A274471