λ
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785,856

26 × 3 × 4093
Abundant Even Composite

785,856 factors as 2^6 × 3 × 4093. Its 28 positive divisors give a proper-divisor sum of 1,293,896, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 4093
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 2,079,752
Proper Divisor Sum 1,293,896
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #785839 ← → #785857

Radix Representation

Decimal 785856
Binary 10111111110111000000 (20 bits)
Octal 0o2776700
Hexadecimal 0xBFDC0

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 4,093 8,186 12,279 16,372 24,558 32,744 49,116 65,488 98,232 130,976 196,464 261,952 392,928 785,856

Collatz Trajectory (131 steps to reach 1)

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

785,856 392,928 196,464 98,232 49,116 24,558 12,279 36,838 18,419 55,258 27,629 82,888 41,444 20,722 10,361 31,084 15,542 7,771 23,314 11,657 34,972 17,486 8,743 26,230 13,115 39,346 19,673 59,020 29,510 14,755 44,266 22,133 66,400 33,200 16,600 8,300 4,150 2,075 6,226 3,113 9,340 4,670 2,335 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990

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