17,570,665

5 × 7² × 29 × 2473

17,570,665 factors as 5 × 7^2 × 29 × 2473. Its 24 positive divisors give a proper-divisor sum of 7,812,575, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 29 × 2473

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,383,240

Proper Divisor Sum 7,812,575

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #17570659 ← → #17570669

Radix Representation

Decimal	17570665
Binary	1000011000001101101101001 (25 bits)
Octal	0o103015551
Hexadecimal	0x10C1B69

Divisor Catalog (24)

Collatz Trajectory (182 steps to reach 1)

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

17,570,665 52,711,996 26,355,998 13,177,999 39,533,998 19,766,999 59,300,998 29,650,499 88,951,498 44,475,749 133,427,248 66,713,624 33,356,812 16,678,406 8,339,203 25,017,610 12,508,805 37,526,416 18,763,208 9,381,604 4,690,802 2,345,401 7,036,204 3,518,102 1,759,051 5,277,154 2,638,577 7,915,732 3,957,866 1,978,933 5,936,800 2,968,400 1,484,200 742,100 371,050 185,525 556,576 278,288 139,144 69,572 34,786 17,393 52,180 26,090 13,045 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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