743,097

3 × 67 × 3697

743,097 factors as 3 × 67 × 3697. Its 8 positive divisors give a proper-divisor sum of 262,759, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 3 × 67 × 3697

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,005,856

Proper Divisor Sum 262,759

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #743089 ← → #743111

Radix Representation

Decimal	743097
Binary	10110101011010111001 (20 bits)
Octal	0o2653271
Hexadecimal	0xB56B9

Divisor Catalog (8)

1 3 67 201 3,697 11,091 247,699 743,097

Collatz Trajectory (180 steps to reach 1)

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

743,097 2,229,292 1,114,646 557,323 1,671,970 835,985 2,507,956 1,253,978 626,989 1,880,968 940,484 470,242 235,121 705,364 352,682 176,341 529,024 264,512 132,256 66,128 33,064 16,532 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

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