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Atlas › Integer Profiles › Node 20,006,824

20,006,824

23 × 17 × 157 × 937
Abundant Even Composite

20,006,824 factors as 2^3 × 17 × 157 × 937. Its 32 positive divisors give a proper-divisor sum of 20,008,256, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 157 × 937
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 40,015,080
Proper Divisor Sum 20,008,256
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #20006813 ← → #20006827

Radix Representation

Decimal 20006824
Binary 1001100010100011110101000 (25 bits)
Octal 0o114243650
Hexadecimal 0x13147A8

Divisor Catalog (32)

1 2 4 8 17 34 68 136 157 314 628 937 1,256 1,874 2,669 3,748 5,338 7,496 10,676 15,929 21,352 31,858 63,716 127,432 147,109 294,218 588,436 1,176,872 2,500,853 5,001,706 10,003,412 20,006,824

Collatz Trajectory (115 steps to reach 1)

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

20,006,824 10,003,412 5,001,706 2,500,853 7,502,560 3,751,280 1,875,640 937,820 468,910 234,455 703,366 351,683 1,055,050 527,525 1,582,576 791,288 395,644 197,822 98,911 296,734 148,367 445,102 222,551 667,654 333,827 1,001,482 500,741 1,502,224 751,112 375,556 187,778 93,889 281,668 140,834 70,417 211,252 105,626 52,813 158,440 79,220 39,610 19,805 59,416 29,708 14,854 7,427 22,282 11,141 33,424 16,712 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527

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