3,612,188

2² × 193 × 4679

3,612,188 factors as 2^2 × 193 × 4679. Its 12 positive divisors give a proper-divisor sum of 2,743,252, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 193 × 4679

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,355,440

Proper Divisor Sum 2,743,252

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3612187 ← → #3612197

Radix Representation

Decimal	3612188
Binary	1101110001111000011100 (22 bits)
Octal	0o15617034
Hexadecimal	0x371E1C

Divisor Catalog (12)

1 2 4 193 386 772 4,679 9,358 18,716 903,047 1,806,094 3,612,188

Collatz Trajectory (115 steps to reach 1)

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

3,612,188 1,806,094 903,047 2,709,142 1,354,571 4,063,714 2,031,857 6,095,572 3,047,786 1,523,893 4,571,680 2,285,840 1,142,920 571,460 285,730 142,865 428,596 214,298 107,149 321,448 160,724 80,362 40,181 120,544 60,272 30,136 15,068 7,534 3,767 11,302 5,651 16,954 8,477 25,432 12,716 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637

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