Properties of the Number 83653

Eighty-Three Thousand Six Hundred Fifty-Three

Basics

Value: 83652 → 83653 → 83654

Parity: odd

Prime: Yes

Previous Prime: 83641

Next Prime: 83663

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 83653

Divisors: 1, 83653

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100011011000101

Octal: 243305

Duodecimal: 404B1

Hexadecimal: 146c5

Square: 6997824409

Square Root: 289.22828354087363

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

a(1)=1, a(n) = n·3^n-1 + a(n-1). A14915

Mirror image of the triangle A193842. A193843

a(n) = 1 + 2·n + 3·n² + 4·n³ + 5·n⁴ + 6·n⁵ + 7·n⁶ + 8·n⁷ + 9·n⁸. A113630

Triangle read by rows, generated from (..., 3, 2, 1). A108283

T(n, k) = 3·T(n-1, k-1) + T(n-1, k) for k < n and T(n, n) = 1, T(n, k) = 0, if k < 0 or k > n; triangle read by rows. A119673

Number of quadruples [i,j,k,l] with all entries between 1 and n such that gcd(i,j) = gcd(k,l). A124162

Triangle read by rows: T(n,k) is the coefficient A_k in the transformation ∑_k=0..n (k+1)*x^k = ∑_k=0..n A_k*(x-3)^k. A246799

Numbers k such that 69^k - 68^k is prime. A62635

Consider the binary Champernowne sequence (A030190): smallest number m such that in binary representation n is contained in the concatenation of m and its successors. A83653

Numbers k such that ∑_x=2..k (x-1)*3^x-2 = ((2·k-3)*3^k-1+1)/4 is prime. A125567