4,627,266

2 × 3 × 7² × 15739

4,627,266 factors as 2 × 3 × 7^2 × 15739. Its 24 positive divisors give a proper-divisor sum of 6,138,894, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 15739

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,766,160

Proper Divisor Sum 6,138,894

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4627253 ← → #4627289

Radix Representation

Decimal	4627266
Binary	10001101001101101000010 (23 bits)
Octal	0o21515502
Hexadecimal	0x469B42

Divisor Catalog (24)

Collatz Trajectory (193 steps to reach 1)

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

4,627,266 2,313,633 6,940,900 3,470,450 1,735,225 5,205,676 2,602,838 1,301,419 3,904,258 1,952,129 5,856,388 2,928,194 1,464,097 4,392,292 2,196,146 1,098,073 3,294,220 1,647,110 823,555 2,470,666 1,235,333 3,706,000 1,853,000 926,500 463,250 231,625 694,876 347,438 173,719 521,158 260,579 781,738 390,869 1,172,608 586,304 293,152 146,576 73,288 36,644 18,322 9,161 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894

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