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900,522

2 × 32 × 72 × 1021
Abundant Even Composite

900,522 factors as 2 × 3^2 × 7^2 × 1021. Its 36 positive divisors give a proper-divisor sum of 1,371,384, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7^2 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,271,906
Proper Divisor Sum 1,371,384
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #900511 ← → #900539

Radix Representation

Decimal 900522
Binary 11011011110110101010 (20 bits)
Octal 0o3336652
Hexadecimal 0xDBDAA

Divisor Catalog (36)

1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1,021 2,042 3,063 6,126 7,147 9,189 14,294 18,378 21,441 42,882 50,029 64,323 100,058 128,646 150,087 300,174 450,261 900,522

Collatz Trajectory (113 steps to reach 1)

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

900,522 450,261 1,350,784 675,392 337,696 168,848 84,424 42,212 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

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