793,683

3² × 11 × 8017

793,683 factors as 3^2 × 11 × 8017. Its 12 positive divisors give a proper-divisor sum of 457,125, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 8017

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,250,808

Proper Divisor Sum 457,125

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #793673 ← → #793691

Radix Representation

Decimal	793683
Binary	11000001110001010011 (20 bits)
Octal	0o3016123
Hexadecimal	0xC1C53

Divisor Catalog (12)

1 3 9 11 33 99 8,017 24,051 72,153 88,187 264,561 793,683

Collatz Trajectory (162 steps to reach 1)

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

793,683 2,381,050 1,190,525 3,571,576 1,785,788 892,894 446,447 1,339,342 669,671 2,009,014 1,004,507 3,013,522 1,506,761 4,520,284 2,260,142 1,130,071 3,390,214 1,695,107 5,085,322 2,542,661 7,627,984 3,813,992 1,906,996 953,498 476,749 1,430,248 715,124 357,562 178,781 536,344 268,172 134,086 67,043 201,130 100,565 301,696 150,848 75,424 37,712 18,856 9,428 4,714 2,357 7,072 3,536 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142

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