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17,469,680

24 × 5 × 218371
Abundant Even Composite

17,469,680 factors as 2^4 × 5 × 218371. Its 20 positive divisors give a proper-divisor sum of 23,147,512, so this integer is abundant. The Collatz stopping time is 174 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 218371
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 40,617,192
Proper Divisor Sum 23,147,512
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #17469679 ← → #17469689

Radix Representation

Decimal 17469680
Binary 1000010101001000011110000 (25 bits)
Octal 0o102510360
Hexadecimal 0x10A90F0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 218,371 436,742 873,484 1,091,855 1,746,968 2,183,710 3,493,936 4,367,420 8,734,840 17,469,680

Collatz Trajectory (174 steps to reach 1)

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

17,469,680 8,734,840 4,367,420 2,183,710 1,091,855 3,275,566 1,637,783 4,913,350 2,456,675 7,370,026 3,685,013 11,055,040 5,527,520 2,763,760 1,381,880 690,940 345,470 172,735 518,206 259,103 777,310 388,655 1,165,966 582,983 1,748,950 874,475 2,623,426 1,311,713 3,935,140 1,967,570 983,785 2,951,356 1,475,678 737,839 2,213,518 1,106,759 3,320,278 1,660,139 4,980,418 2,490,209 7,470,628 3,735,314 1,867,657 5,602,972 2,801,486 1,400,743 4,202,230 2,101,115 6,303,346 3,151,673 9,455,020 4,727,510 2,363,755 7,091,266 3,545,633 10,636,900 5,318,450 2,659,225 7,977,676 3,988,838

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