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17,570,672

24 × 7 × 59 × 2659
Abundant Even Composite

17,570,672 factors as 2^4 × 7 × 59 × 2659. Its 40 positive divisors give a proper-divisor sum of 22,010,128, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 59 × 2659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 39,580,800
Proper Divisor Sum 22,010,128
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #17570669 ← → #17570681

Radix Representation

Decimal 17570672
Binary 1000011000001101101110000 (25 bits)
Octal 0o103015560
Hexadecimal 0x10C1B70

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 59 112 118 236 413 472 826 944 1,652 2,659 3,304 5,318 6,608 10,636 18,613 21,272 37,226 42,544 74,452 148,904 156,881 297,808 313,762 627,524 1,098,167 1,255,048 2,196,334 2,510,096 4,392,668 8,785,336 17,570,672

Collatz Trajectory (182 steps to reach 1)

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

17,570,672 8,785,336 4,392,668 2,196,334 1,098,167 3,294,502 1,647,251 4,941,754 2,470,877 7,412,632 3,706,316 1,853,158 926,579 2,779,738 1,389,869 4,169,608 2,084,804 1,042,402 521,201 1,563,604 781,802 390,901 1,172,704 586,352 293,176 146,588 73,294 36,647 109,942 54,971 164,914 82,457 247,372 123,686 61,843 185,530 92,765 278,296 139,148 69,574 34,787 104,362 52,181 156,544 78,272 39,136 19,568 9,784 4,892 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098

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