6,573,820

2² × 5 × 11 × 29881

Starting at 6,573,820, the Collatz iteration reaches 1 after 196 steps. The first transition is 3286910; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 29881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,060,528

Proper Divisor Sum 8,486,708

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6573799 ← → #6573821

Radix Representation

Decimal	6573820
Binary	11001000100111011111100 (23 bits)
Octal	0o31047374
Hexadecimal	0x644EFC

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 29,881 59,762 119,524 149,405 298,810 328,691 597,620 657,382 1,314,764 1,643,455 3,286,910 6,573,820

Collatz Trajectory (196 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

6,573,820 3,286,910 1,643,455 4,930,366 2,465,183 7,395,550 3,697,775 11,093,326 5,546,663 16,639,990 8,319,995 24,959,986 12,479,993 37,439,980 18,719,990 9,359,995 28,079,986 14,039,993 42,119,980 21,059,990 10,529,995 31,589,986 15,794,993 47,384,980 23,692,490 11,846,245 35,538,736 17,769,368 8,884,684 4,442,342 2,221,171 6,663,514 3,331,757 9,995,272 4,997,636 2,498,818 1,249,409 3,748,228 1,874,114 937,057 2,811,172 1,405,586 702,793 2,108,380 1,054,190 527,095 1,581,286 790,643 2,371,930 1,185,965 3,557,896 1,778,948 889,474 444,737 1,334,212 667,106 333,553 1,000,660 500,330 250,165

← Previous Integer #6,573,819 Browse Full Index Next Integer #6,573,821 →