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Atlas › Integer Profiles › Node 16,104,368

16,104,368

24 × 7 × 53 × 2713
Abundant Even Composite

16,104,368 factors as 2^4 × 7 × 53 × 2713. Its 40 positive divisors give a proper-divisor sum of 20,241,520, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 53 × 2713
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 36,345,888
Proper Divisor Sum 20,241,520
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #16104353 ← → #16104371

Radix Representation

Decimal 16104368
Binary 111101011011101110110000 (24 bits)
Octal 0o75335660
Hexadecimal 0xF5BBB0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 53 56 106 112 212 371 424 742 848 1,484 2,713 2,968 5,426 5,936 10,852 18,991 21,704 37,982 43,408 75,964 143,789 151,928 287,578 303,856 575,156 1,006,523 1,150,312 2,013,046 2,300,624 4,026,092 8,052,184 16,104,368

Collatz Trajectory (94 steps to reach 1)

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

16,104,368 8,052,184 4,026,092 2,013,046 1,006,523 3,019,570 1,509,785 4,529,356 2,264,678 1,132,339 3,397,018 1,698,509 5,095,528 2,547,764 1,273,882 636,941 1,910,824 955,412 477,706 238,853 716,560 358,280 179,140 89,570 44,785 134,356 67,178 33,589 100,768 50,384 25,192 12,596 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476

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