λ
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84,285,652

22 × 11 × 31 × 61 × 1013
Abundant Even Composite

84,285,652 factors as 2^2 × 11 × 31 × 61 × 1013. Its 48 positive divisors give a proper-divisor sum of 84,703,532, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 31 × 61 × 1013
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 168,989,184
Proper Divisor Sum 84,703,532
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #84285647 ← → #84285659

Radix Representation

Decimal 84285652
Binary 101000001100001100011010100 (27 bits)
Octal 0o501414324
Hexadecimal 0x50618D4

Divisor Catalog (48)

1 2 4 11 22 31 44 61 62 122 124 244 341 671 682 1,013 1,342 1,364 1,891 2,026 2,684 3,782 4,052 7,564 11,143 20,801 22,286 31,403 41,602 44,572 61,793 62,806 83,204 123,586 125,612 247,172 345,433 679,723 690,866 1,359,446 1,381,732 1,915,583 2,718,892 3,831,166 7,662,332 21,071,413 42,142,826 84,285,652

Collatz Trajectory (130 steps to reach 1)

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

84,285,652 42,142,826 21,071,413 63,214,240 31,607,120 15,803,560 7,901,780 3,950,890 1,975,445 5,926,336 2,963,168 1,481,584 740,792 370,396 185,198 92,599 277,798 138,899 416,698 208,349 625,048 312,524 156,262 78,131 234,394 117,197 351,592 175,796 87,898 43,949 131,848 65,924 32,962 16,481 49,444 24,722 12,361 37,084 18,542 9,271 27,814 13,907 41,722 20,861 62,584 31,292 15,646 7,823 23,470 11,735 35,206 17,603 52,810 26,405 79,216 39,608 19,804 9,902 4,951 14,854

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