566,116

2² × 141529

Starting at 566,116, the Collatz iteration reaches 1 after 84 steps. The first transition is 283058; the starting value is even with 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 141529

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 990,710

Proper Divisor Sum 424,594

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #566107 ← → #566131

Radix Representation

Decimal	566116
Binary	10001010001101100100 (20 bits)
Octal	0o2121544
Hexadecimal	0x8A364

Divisor Catalog (6)

1 2 4 141,529 283,058 566,116

Collatz Trajectory (84 steps to reach 1)

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

566,116 283,058 141,529 424,588 212,294 106,147 318,442 159,221 477,664 238,832 119,416 59,708 29,854 14,927 44,782 22,391 67,174 33,587 100,762 50,381 151,144 75,572 37,786 18,893 56,680 28,340 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100

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