4,428,844

2² × 7 × 61 × 2593

4,428,844 factors as 2^2 × 7 × 61 × 2593. Its 24 positive divisors give a proper-divisor sum of 4,577,524, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 61 × 2593

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,006,368

Proper Divisor Sum 4,577,524

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4428833 ← → #4428847

Radix Representation

Decimal	4428844
Binary	10000111001010000101100 (23 bits)
Octal	0o20712054
Hexadecimal	0x43942C

Divisor Catalog (24)

Collatz Trajectory (118 steps to reach 1)

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

4,428,844 2,214,422 1,107,211 3,321,634 1,660,817 4,982,452 2,491,226 1,245,613 3,736,840 1,868,420 934,210 467,105 1,401,316 700,658 350,329 1,050,988 525,494 262,747 788,242 394,121 1,182,364 591,182 295,591 886,774 443,387 1,330,162 665,081 1,995,244 997,622 498,811 1,496,434 748,217 2,244,652 1,122,326 561,163 1,683,490 841,745 2,525,236 1,262,618 631,309 1,893,928 946,964 473,482 236,741 710,224 355,112 177,556 88,778 44,389 133,168 66,584 33,292 16,646 8,323 24,970 12,485 37,456 18,728 9,364 4,682

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