784,823

13 × 73 × 827

784,823 factors as 13 × 73 × 827. Its 8 positive divisors give a proper-divisor sum of 72,985, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 13 × 73 × 827

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 857,808

Proper Divisor Sum 72,985

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #784799 ← → #784831

Radix Representation

Decimal	784823
Binary	10111111100110110111 (20 bits)
Octal	0o2774667
Hexadecimal	0xBF9B7

Divisor Catalog (8)

1 13 73 827 949 10,751 60,371 784,823

Collatz Trajectory (100 steps to reach 1)

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

784,823 2,354,470 1,177,235 3,531,706 1,765,853 5,297,560 2,648,780 1,324,390 662,195 1,986,586 993,293 2,979,880 1,489,940 744,970 372,485 1,117,456 558,728 279,364 139,682 69,841 209,524 104,762 52,381 157,144 78,572 39,286 19,643 58,930 29,465 88,396 44,198 22,099 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979

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