16,442,608

2⁴ × 7 × 13 × 23 × 491

16,442,608 factors as 2^4 × 7 × 13 × 23 × 491. Its 80 positive divisors give a proper-divisor sum of 24,554,768, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 23 × 491

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 40,997,376

Proper Divisor Sum 24,554,768

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #16442521 ← → #16442609

Radix Representation

Decimal	16442608
Binary	111110101110010011110000 (24 bits)
Octal	0o76562360
Hexadecimal	0xFAE4F0

Divisor Catalog (60 of 80)

1 2 4 7 8 13 14 16 23 26 28 46 52 56 91 92 104 112 161 182 184 208 299 322 364 368 491 598 644 728 982 1,196 1,288 1,456 1,964 2,093 2,392 2,576 3,437 3,928 4,186 4,784 6,383 6,874 7,856 8,372 11,293 12,766 13,748 16,744 22,586 25,532 27,496 33,488 44,681 45,172 51,064 54,992 79,051 89,362

Collatz Trajectory (200 steps to reach 1)

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

16,442,608 8,221,304 4,110,652 2,055,326 1,027,663 3,082,990 1,541,495 4,624,486 2,312,243 6,936,730 3,468,365 10,405,096 5,202,548 2,601,274 1,300,637 3,901,912 1,950,956 975,478 487,739 1,463,218 731,609 2,194,828 1,097,414 548,707 1,646,122 823,061 2,469,184 1,234,592 617,296 308,648 154,324 77,162 38,581 115,744 57,872 28,936 14,468 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902

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