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Atlas › Integer Profiles › Node 16,645,692

16,645,692

22 × 3 × 72 × 28309
Abundant Even Composite

16,645,692 factors as 2^2 × 3 × 7^2 × 28309. Its 36 positive divisors give a proper-divisor sum of 28,537,068, so this integer is abundant. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 28309
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 45,182,760
Proper Divisor Sum 28,537,068
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #16645663 ← → #16645693

Radix Representation

Decimal 16645692
Binary 111111011111111000111100 (24 bits)
Octal 0o77377074
Hexadecimal 0xFDFE3C

Divisor Catalog (36)

1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 28,309 56,618 84,927 113,236 169,854 198,163 339,708 396,326 594,489 792,652 1,188,978 1,387,141 2,377,956 2,774,282 4,161,423 5,548,564 8,322,846 16,645,692

Collatz Trajectory (161 steps to reach 1)

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

16,645,692 8,322,846 4,161,423 12,484,270 6,242,135 18,726,406 9,363,203 28,089,610 14,044,805 42,134,416 21,067,208 10,533,604 5,266,802 2,633,401 7,900,204 3,950,102 1,975,051 5,925,154 2,962,577 8,887,732 4,443,866 2,221,933 6,665,800 3,332,900 1,666,450 833,225 2,499,676 1,249,838 624,919 1,874,758 937,379 2,812,138 1,406,069 4,218,208 2,109,104 1,054,552 527,276 263,638 131,819 395,458 197,729 593,188 296,594 148,297 444,892 222,446 111,223 333,670 166,835 500,506 250,253 750,760 375,380 187,690 93,845 281,536 140,768 70,384 35,192 17,596

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