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Atlas › Integer Profiles › Node 20,005,296

20,005,296

24 × 3 × 431 × 967
Abundant Even Composite

20,005,296 factors as 2^4 × 3 × 431 × 967. Its 40 positive divisors give a proper-divisor sum of 31,848,528, so this integer is abundant. The Collatz stopping time is 283 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 431 × 967
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 51,853,824
Proper Divisor Sum 31,848,528
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #20005291 ← → #20005301

Radix Representation

Decimal 20005296
Binary 1001100010100000110110000 (25 bits)
Octal 0o114240660
Hexadecimal 0x13141B0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 431 862 967 1,293 1,724 1,934 2,586 2,901 3,448 3,868 5,172 5,802 6,896 7,736 10,344 11,604 15,472 20,688 23,208 46,416 416,777 833,554 1,250,331 1,667,108 2,500,662 3,334,216 5,001,324 6,668,432 10,002,648 20,005,296

Collatz Trajectory (283 steps to reach 1)

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

20,005,296 10,002,648 5,001,324 2,500,662 1,250,331 3,750,994 1,875,497 5,626,492 2,813,246 1,406,623 4,219,870 2,109,935 6,329,806 3,164,903 9,494,710 4,747,355 14,242,066 7,121,033 21,363,100 10,681,550 5,340,775 16,022,326 8,011,163 24,033,490 12,016,745 36,050,236 18,025,118 9,012,559 27,037,678 13,518,839 40,556,518 20,278,259 60,834,778 30,417,389 91,252,168 45,626,084 22,813,042 11,406,521 34,219,564 17,109,782 8,554,891 25,664,674 12,832,337 38,497,012 19,248,506 9,624,253 28,872,760 14,436,380 7,218,190 3,609,095 10,827,286 5,413,643 16,240,930 8,120,465 24,361,396 12,180,698 6,090,349 18,271,048 9,135,524 4,567,762

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