785,834

2 × 7 × 56131

Starting at 785,834, the Collatz iteration reaches 1 after 131 steps. The first transition is 392917; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 56131

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,347,168

Proper Divisor Sum 561,334

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #785809 ← → #785839

Radix Representation

Decimal	785834
Binary	10111111110110101010 (20 bits)
Octal	0o2776652
Hexadecimal	0xBFDAA

Divisor Catalog (8)

1 2 7 14 56,131 112,262 392,917 785,834

Collatz Trajectory (131 steps to reach 1)

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

785,834 392,917 1,178,752 589,376 294,688 147,344 73,672 36,836 18,418 9,209 27,628 13,814 6,907 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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