42,788,286

2 × 3² × 17 × 139831

42,788,286 factors as 2 × 3^2 × 17 × 139831. Its 24 positive divisors give a proper-divisor sum of 55,373,778, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 139831

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 98,162,064

Proper Divisor Sum 55,373,778

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #42788281 ← → #42788299

Radix Representation

Decimal	42788286
Binary	10100011001110010110111110 (26 bits)
Octal	0o243162676
Hexadecimal	0x28CE5BE

Divisor Catalog (24)

Collatz Trajectory (173 steps to reach 1)

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

42,788,286 21,394,143 64,182,430 32,091,215 96,273,646 48,136,823 144,410,470 72,205,235 216,615,706 108,307,853 324,923,560 162,461,780 81,230,890 40,615,445 121,846,336 60,923,168 30,461,584 15,230,792 7,615,396 3,807,698 1,903,849 5,711,548 2,855,774 1,427,887 4,283,662 2,141,831 6,425,494 3,212,747 9,638,242 4,819,121 14,457,364 7,228,682 3,614,341 10,843,024 5,421,512 2,710,756 1,355,378 677,689 2,033,068 1,016,534 508,267 1,524,802 762,401 2,287,204 1,143,602 571,801 1,715,404 857,702 428,851 1,286,554 643,277 1,929,832 964,916 482,458 241,229 723,688 361,844 180,922 90,461 271,384

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