Properties of the Number 17969

Seventeen Thousand Nine Hundred Sixty-Nine

Basics

Value: 17968 → 17969 → 17970

Parity: odd

Prime: No

Previous Prime: 17959

Next Prime: 17971

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 7 × 17 × 151

Divisors: 1, 7, 17, 119, 151, 1057, 2567, 17969

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011000110001

Octal: 43061

Duodecimal: A495

Hexadecimal: 4631

Square: 322884961

Square Root: 134.04849868610987

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

Thickened cube numbers: a(n) = n*(n² + (n-1)²) + (n-1)*2·n*(n-1). A50492

Dispersion of A016873, (5k+4), by antidiagonals. A191706

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to 1 2 3 4 5 6 or 7. A251373

a(n) = ceiling((n³)/2). A36486

a(n) = A000041(n) - A032741(n). A167934

Nonnegative values·of solutions (x, y) to the Diophantine equation x²+(x+151)² = y². A161482

Number of different positions in which a square with side length k, 1 <= k <= n - floor(n/3), can be placed within a bi-symmetric triangle of 1 X 1 squares of height n. A241526

Square array read by descending antidiagonals: T(n,k) = ((2ⁿ⁺¹ + 1)^k-1 + 1)/2. A266577

Number of partitions of n³ into at most two parts. A274324

Binary "cubes"; numbers whose binary representation consists of three consecutive identical blocks. A297405