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17,907,282

2 × 32 × 47 × 61 × 347
Abundant Even Composite

17,907,282 factors as 2 × 3^2 × 47 × 61 × 347. Its 48 positive divisors give a proper-divisor sum of 22,482,990, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 47 × 61 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 40,390,272
Proper Divisor Sum 22,482,990
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #17907277 ← → #17907289

Radix Representation

Decimal 17907282
Binary 1000100010011111001010010 (25 bits)
Octal 0o104237122
Hexadecimal 0x1113E52

Divisor Catalog (48)

1 2 3 6 9 18 47 61 94 122 141 183 282 347 366 423 549 694 846 1,041 1,098 2,082 2,867 3,123 5,734 6,246 8,601 16,309 17,202 21,167 25,803 32,618 42,334 48,927 51,606 63,501 97,854 127,002 146,781 190,503 293,562 381,006 994,849 1,989,698 2,984,547 5,969,094 8,953,641 17,907,282

Collatz Trajectory (182 steps to reach 1)

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

17,907,282 8,953,641 26,860,924 13,430,462 6,715,231 20,145,694 10,072,847 30,218,542 15,109,271 45,327,814 22,663,907 67,991,722 33,995,861 101,987,584 50,993,792 25,496,896 12,748,448 6,374,224 3,187,112 1,593,556 796,778 398,389 1,195,168 597,584 298,792 149,396 74,698 37,349 112,048 56,024 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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