3,946,771

17 × 179 × 1297

3,946,771 factors as 17 × 179 × 1297. Its 8 positive divisors give a proper-divisor sum of 258,749, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 17 × 179 × 1297

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,205,520

Proper Divisor Sum 258,749

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3946763 ← → #3946793

Radix Representation

Decimal	3946771
Binary	1111000011100100010011 (22 bits)
Octal	0o17034423
Hexadecimal	0x3C3913

Divisor Catalog (8)

1 17 179 1,297 3,043 22,049 232,163 3,946,771

Collatz Trajectory (172 steps to reach 1)

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

3,946,771 11,840,314 5,920,157 17,760,472 8,880,236 4,440,118 2,220,059 6,660,178 3,330,089 9,990,268 4,995,134 2,497,567 7,492,702 3,746,351 11,239,054 5,619,527 16,858,582 8,429,291 25,287,874 12,643,937 37,931,812 18,965,906 9,482,953 28,448,860 14,224,430 7,112,215 21,336,646 10,668,323 32,004,970 16,002,485 48,007,456 24,003,728 12,001,864 6,000,932 3,000,466 1,500,233 4,500,700 2,250,350 1,125,175 3,375,526 1,687,763 5,063,290 2,531,645 7,594,936 3,797,468 1,898,734 949,367 2,848,102 1,424,051 4,272,154 2,136,077 6,408,232 3,204,116 1,602,058 801,029 2,403,088 1,201,544 600,772 300,386 150,193

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