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2,632,650

2 × 3 × 52 × 17551
Abundant Even Composite

2,632,650 factors as 2 × 3 × 5^2 × 17551. Its 24 positive divisors give a proper-divisor sum of 3,896,694, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 17551
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,529,344
Proper Divisor Sum 3,896,694
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2632633 ← → #2632657

Radix Representation

Decimal 2632650
Binary 1010000010101111001010 (22 bits)
Octal 0o12025712
Hexadecimal 0x282BCA

Divisor Catalog (24)

1 2 3 5 6 10 15 25 30 50 75 150 17,551 35,102 52,653 87,755 105,306 175,510 263,265 438,775 526,530 877,550 1,316,325 2,632,650

Collatz Trajectory (130 steps to reach 1)

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

2,632,650 1,316,325 3,948,976 1,974,488 987,244 493,622 246,811 740,434 370,217 1,110,652 555,326 277,663 832,990 416,495 1,249,486 624,743 1,874,230 937,115 2,811,346 1,405,673 4,217,020 2,108,510 1,054,255 3,162,766 1,581,383 4,744,150 2,372,075 7,116,226 3,558,113 10,674,340 5,337,170 2,668,585 8,005,756 4,002,878 2,001,439 6,004,318 3,002,159 9,006,478 4,503,239 13,509,718 6,754,859 20,264,578 10,132,289 30,396,868 15,198,434 7,599,217 22,797,652 11,398,826 5,699,413 17,098,240 8,549,120 4,274,560 2,137,280 1,068,640 534,320 267,160 133,580 66,790 33,395 100,186

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