λ
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2,967,570

2 × 33 × 5 × 29 × 379
Abundant Even Composite

2,967,570 factors as 2 × 3^3 × 5 × 29 × 379. Its 64 positive divisors give a proper-divisor sum of 5,240,430, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 29 × 379
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,208,000
Proper Divisor Sum 5,240,430
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #2967551 ← → #2967583

Radix Representation

Decimal 2967570
Binary 1011010100100000010010 (22 bits)
Octal 0o13244022
Hexadecimal 0x2D4812

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 174 261 270 290 379 435 522 758 783 870 1,137 1,305 1,566 1,895 2,274 2,610 3,411 3,790 3,915 5,685 6,822 7,830 10,233 10,991 11,370 17,055 20,466 21,982 32,973 34,110 51,165 54,955 65,946 98,919 102,330 109,910 164,865 197,838 296,757 329,730 494,595

Collatz Trajectory (195 steps to reach 1)

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

2,967,570 1,483,785 4,451,356 2,225,678 1,112,839 3,338,518 1,669,259 5,007,778 2,503,889 7,511,668 3,755,834 1,877,917 5,633,752 2,816,876 1,408,438 704,219 2,112,658 1,056,329 3,168,988 1,584,494 792,247 2,376,742 1,188,371 3,565,114 1,782,557 5,347,672 2,673,836 1,336,918 668,459 2,005,378 1,002,689 3,008,068 1,504,034 752,017 2,256,052 1,128,026 564,013 1,692,040 846,020 423,010 211,505 634,516 317,258 158,629 475,888 237,944 118,972 59,486 29,743 89,230 44,615 133,846 66,923 200,770 100,385 301,156 150,578 75,289 225,868 112,934

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