4,613,643

3² × 109 × 4703

4,613,643 factors as 3^2 × 109 × 4703. Its 12 positive divisors give a proper-divisor sum of 2,113,077, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3^2 × 109 × 4703

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,726,720

Proper Divisor Sum 2,113,077

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4613629 ← → #4613657

Radix Representation

Decimal	4613643
Binary	10001100110011000001011 (23 bits)
Octal	0o21463013
Hexadecimal	0x46660B

Divisor Catalog (12)

1 3 9 109 327 981 4,703 14,109 42,327 512,627 1,537,881 4,613,643

Collatz Trajectory (74 steps to reach 1)

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

4,613,643 13,840,930 6,920,465 20,761,396 10,380,698 5,190,349 15,571,048 7,785,524 3,892,762 1,946,381 5,839,144 2,919,572 1,459,786 729,893 2,189,680 1,094,840 547,420 273,710 136,855 410,566 205,283 615,850 307,925 923,776 461,888 230,944 115,472 57,736 28,868 14,434 7,217 21,652 10,826 5,413 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136

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