Properties of the Number 67609

Sixty-Seven Thousand Six Hundred Nine

Basics

Value: 67608 → 67609 → 67610

Parity: odd

Prime: No

Previous Prime: 67607

Next Prime: 67619

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 17 × 41 × 97

Divisors: 1, 17, 41, 97, 697, 1649, 3977, 67609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100000011001

Octal: 204031

Duodecimal: 33161

Hexadecimal: 10819

Square: 4570976881

Square Root: 260.0173071162764

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{x(i,j), j=1..k+1} nondecreasing, and column sums sum{i²*x(i,j), i=1..n+1} nondecreasing. A233301

Product of exactly three distinct primes congruent to 1 mod 8 (A007519). A185379

Numbers n such that n, n + 1, n + 2, n + 3 and n + 4 are products of exactly three primes. A268588

Number of (n+1) X (2+1) 0..1 arrays x(i,j) with row sums ∑_j=1..2+1 x(i,j) nondecreasing, and column sums ∑_i=1..n+1 i²*x(i,j) nondecreasing. A233298

a(n) = 2^Lucas(n). A230900

Array read by antidiagonals: T(n,m) is the number of nonisomorphic binary n X m matrices with 3 1's per column under row and column permutations (m >= 3). A305027

Number of stereo alkanes with combinatorial diameter n. A67609