9,720,342

2 × 3² × 163 × 3313

9,720,342 factors as 2 × 3^2 × 163 × 3313. Its 24 positive divisors give a proper-divisor sum of 11,476,002, so this integer is abundant. The Collatz stopping time is 344 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 163 × 3313

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 21,196,344

Proper Divisor Sum 11,476,002

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9720317 ← → #9720353

Radix Representation

Decimal	9720342
Binary	100101000101001000010110 (24 bits)
Octal	0o45051026
Hexadecimal	0x945216

Divisor Catalog (24)

Collatz Trajectory (344 steps to reach 1)

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

9,720,342 4,860,171 14,580,514 7,290,257 21,870,772 10,935,386 5,467,693 16,403,080 8,201,540 4,100,770 2,050,385 6,151,156 3,075,578 1,537,789 4,613,368 2,306,684 1,153,342 576,671 1,730,014 865,007 2,595,022 1,297,511 3,892,534 1,946,267 5,838,802 2,919,401 8,758,204 4,379,102 2,189,551 6,568,654 3,284,327 9,852,982 4,926,491 14,779,474 7,389,737 22,169,212 11,084,606 5,542,303 16,626,910 8,313,455 24,940,366 12,470,183 37,410,550 18,705,275 56,115,826 28,057,913 84,173,740 42,086,870 21,043,435 63,130,306 31,565,153 94,695,460 47,347,730 23,673,865 71,021,596 35,510,798 17,755,399 53,266,198 26,633,099 79,899,298

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