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20,005,648

24 × 13 × 96181
Abundant Even Composite

20,005,648 factors as 2^4 × 13 × 96181. Its 20 positive divisors give a proper-divisor sum of 21,737,340, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 96181
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 41,742,988
Proper Divisor Sum 21,737,340
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #20005637 ← → #20005649

Radix Representation

Decimal 20005648
Binary 1001100010100001100010000 (25 bits)
Octal 0o114241420
Hexadecimal 0x1314310

Divisor Catalog (20)

1 2 4 8 13 16 26 52 104 208 96,181 192,362 384,724 769,448 1,250,353 1,538,896 2,500,706 5,001,412 10,002,824 20,005,648

Collatz Trajectory (115 steps to reach 1)

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

20,005,648 10,002,824 5,001,412 2,500,706 1,250,353 3,751,060 1,875,530 937,765 2,813,296 1,406,648 703,324 351,662 175,831 527,494 263,747 791,242 395,621 1,186,864 593,432 296,716 148,358 74,179 222,538 111,269 333,808 166,904 83,452 41,726 20,863 62,590 31,295 93,886 46,943 140,830 70,415 211,246 105,623 316,870 158,435 475,306 237,653 712,960 356,480 178,240 89,120 44,560 22,280 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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