4,434,716

2² × 11 × 13 × 7753

4,434,716 factors as 2^2 × 11 × 13 × 7753. Its 24 positive divisors give a proper-divisor sum of 4,683,988, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 7753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,118,704

Proper Divisor Sum 4,683,988

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4434697 ← → #4434721

Radix Representation

Decimal	4434716
Binary	10000111010101100011100 (23 bits)
Octal	0o20725434
Hexadecimal	0x43AB1C

Divisor Catalog (24)

Collatz Trajectory (180 steps to reach 1)

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

4,434,716 2,217,358 1,108,679 3,326,038 1,663,019 4,989,058 2,494,529 7,483,588 3,741,794 1,870,897 5,612,692 2,806,346 1,403,173 4,209,520 2,104,760 1,052,380 526,190 263,095 789,286 394,643 1,183,930 591,965 1,775,896 887,948 443,974 221,987 665,962 332,981 998,944 499,472 249,736 124,868 62,434 31,217 93,652 46,826 23,413 70,240 35,120 17,560 8,780 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696

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