λ
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Atlas › Integer Profiles › Node 1,282,986

1,282,986

2 × 33 × 23 × 1033
Abundant Even Composite

1,282,986 factors as 2 × 3^3 × 23 × 1033. Its 32 positive divisors give a proper-divisor sum of 1,694,934, so this integer is abundant. The Collatz stopping time is 72 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 23 × 1033
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,977,920
Proper Divisor Sum 1,694,934
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1282969 ← → #1282993

Radix Representation

Decimal 1282986
Binary 100111001001110101010 (21 bits)
Octal 0o4711652
Hexadecimal 0x1393AA

Divisor Catalog (32)

1 2 3 6 9 18 23 27 46 54 69 138 207 414 621 1,033 1,242 2,066 3,099 6,198 9,297 18,594 23,759 27,891 47,518 55,782 71,277 142,554 213,831 427,662 641,493 1,282,986

Collatz Trajectory (72 steps to reach 1)

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

1,282,986 641,493 1,924,480 962,240 481,120 240,560 120,280 60,140 30,070 15,035 45,106 22,553 67,660 33,830 16,915 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227

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