4,428,655

5 × 7 × 11 × 11503

4,428,655 factors as 5 × 7 × 11 × 11503. Its 16 positive divisors give a proper-divisor sum of 2,197,649, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 11503

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,626,304

Proper Divisor Sum 2,197,649

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4428643 ← → #4428689

Radix Representation

Decimal	4428655
Binary	10000111001001101101111 (23 bits)
Octal	0o20711557
Hexadecimal	0x43936F

Divisor Catalog (16)

1 5 7 11 35 55 77 385 11,503 57,515 80,521 126,533 402,605 632,665 885,731 4,428,655

Collatz Trajectory (105 steps to reach 1)

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

4,428,655 13,285,966 6,642,983 19,928,950 9,964,475 29,893,426 14,946,713 44,840,140 22,420,070 11,210,035 33,630,106 16,815,053 50,445,160 25,222,580 12,611,290 6,305,645 18,916,936 9,458,468 4,729,234 2,364,617 7,093,852 3,546,926 1,773,463 5,320,390 2,660,195 7,980,586 3,990,293 11,970,880 5,985,440 2,992,720 1,496,360 748,180 374,090 187,045 561,136 280,568 140,284 70,142 35,071 105,214 52,607 157,822 78,911 236,734 118,367 355,102 177,551 532,654 266,327 798,982 399,491 1,198,474 599,237 1,797,712 898,856 449,428 224,714 112,357 337,072 168,536

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