4,429,005

3 × 5 × 7 × 42181

4,429,005 factors as 3 × 5 × 7 × 42181. Its 16 positive divisors give a proper-divisor sum of 3,669,939, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 42181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,098,944

Proper Divisor Sum 3,669,939

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4428971 ← → #4429031

Radix Representation

Decimal	4429005
Binary	10000111001010011001101 (23 bits)
Octal	0o20712315
Hexadecimal	0x4394CD

Divisor Catalog (16)

1 3 5 7 15 21 35 105 42,181 126,543 210,905 295,267 632,715 885,801 1,476,335 4,429,005

Collatz Trajectory (180 steps to reach 1)

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

4,429,005 13,287,016 6,643,508 3,321,754 1,660,877 4,982,632 2,491,316 1,245,658 622,829 1,868,488 934,244 467,122 233,561 700,684 350,342 175,171 525,514 262,757 788,272 394,136 197,068 98,534 49,267 147,802 73,901 221,704 110,852 55,426 27,713 83,140 41,570 20,785 62,356 31,178 15,589 46,768 23,384 11,692 5,846 2,923 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782

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