3,000,570

2 × 3 × 5 × 100019

3,000,570 factors as 2 × 3 × 5 × 100019. Its 16 positive divisors give a proper-divisor sum of 4,200,870, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 100019

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,201,440

Proper Divisor Sum 4,200,870

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #3000553 ← → #3000607

Radix Representation

Decimal	3000570
Binary	1011011100100011111010 (22 bits)
Octal	0o13344372
Hexadecimal	0x2DC8FA

Divisor Catalog (16)

1 2 3 5 6 10 15 30 100,019 200,038 300,057 500,095 600,114 1,000,190 1,500,285 3,000,570

Collatz Trajectory (138 steps to reach 1)

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

3,000,570 1,500,285 4,500,856 2,250,428 1,125,214 562,607 1,687,822 843,911 2,531,734 1,265,867 3,797,602 1,898,801 5,696,404 2,848,202 1,424,101 4,272,304 2,136,152 1,068,076 534,038 267,019 801,058 400,529 1,201,588 600,794 300,397 901,192 450,596 225,298 112,649 337,948 168,974 84,487 253,462 126,731 380,194 190,097 570,292 285,146 142,573 427,720 213,860 106,930 53,465 160,396 80,198 40,099 120,298 60,149 180,448 90,224 45,112 22,556 11,278 5,639 16,918 8,459 25,378 12,689 38,068 19,034

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