735,093

3² × 81677

735,093 factors as 3^2 × 81677. Its 6 positive divisors give a proper-divisor sum of 326,721, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3^2 × 81677

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,061,814

Proper Divisor Sum 326,721

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #735083 ← → #735107

Radix Representation

Decimal	735093
Binary	10110011011101110101 (20 bits)
Octal	0o2633565
Hexadecimal	0xB3775

Divisor Catalog (6)

1 3 9 81,677 245,031 735,093

Collatz Trajectory (74 steps to reach 1)

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

735,093 2,205,280 1,102,640 551,320 275,660 137,830 68,915 206,746 103,373 310,120 155,060 77,530 38,765 116,296 58,148 29,074 14,537 43,612 21,806 10,903 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22

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