3,729,942

2 × 3³ × 69073

3,729,942 has digital root 9. The neighboring primes are 3729931 and 3729959; its proper-divisor sum differs from the starting integer by 828,996.

Prime Factor Structure

Factorization String 2 × 3^3 × 69073

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,288,880

Proper Divisor Sum 4,558,938

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3729931 ← → #3729959

Radix Representation

Decimal	3729942
Binary	1110001110101000010110 (22 bits)
Octal	0o16165026
Hexadecimal	0x38EA16

Divisor Catalog (16)

1 2 3 6 9 18 27 54 69,073 138,146 207,219 414,438 621,657 1,243,314 1,864,971 3,729,942

Collatz Trajectory (203 steps to reach 1)

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

3,729,942 1,864,971 5,594,914 2,797,457 8,392,372 4,196,186 2,098,093 6,294,280 3,147,140 1,573,570 786,785 2,360,356 1,180,178 590,089 1,770,268 885,134 442,567 1,327,702 663,851 1,991,554 995,777 2,987,332 1,493,666 746,833 2,240,500 1,120,250 560,125 1,680,376 840,188 420,094 210,047 630,142 315,071 945,214 472,607 1,417,822 708,911 2,126,734 1,063,367 3,190,102 1,595,051 4,785,154 2,392,577 7,177,732 3,588,866 1,794,433 5,383,300 2,691,650 1,345,825 4,037,476 2,018,738 1,009,369 3,028,108 1,514,054 757,027 2,271,082 1,135,541 3,406,624 1,703,312 851,656

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