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15,617,050

2 × 52 × 17 × 19 × 967
Abundant Even Composite

15,617,050 factors as 2 × 5^2 × 17 × 19 × 967. Its 48 positive divisors give a proper-divisor sum of 16,791,590, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 19 × 967
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,408,640
Proper Divisor Sum 16,791,590
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #15617039 ← → #15617053

Radix Representation

Decimal 15617050
Binary 111011100100110000011010 (24 bits)
Octal 0o73446032
Hexadecimal 0xEE4C1A

Divisor Catalog (48)

1 2 5 10 17 19 25 34 38 50 85 95 170 190 323 425 475 646 850 950 967 1,615 1,934 3,230 4,835 8,075 9,670 16,150 16,439 18,373 24,175 32,878 36,746 48,350 82,195 91,865 164,390 183,730 312,341 410,975 459,325 624,682 821,950 918,650 1,561,705 3,123,410 7,808,525 15,617,050

Collatz Trajectory (187 steps to reach 1)

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

15,617,050 7,808,525 23,425,576 11,712,788 5,856,394 2,928,197 8,784,592 4,392,296 2,196,148 1,098,074 549,037 1,647,112 823,556 411,778 205,889 617,668 308,834 154,417 463,252 231,626 115,813 347,440 173,720 86,860 43,430 21,715 65,146 32,573 97,720 48,860 24,430 12,215 36,646 18,323 54,970 27,485 82,456 41,228 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522

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