3,988,540

2² × 5 × 17 × 11731

3,988,540 factors as 2^2 × 5 × 17 × 11731. Its 24 positive divisors give a proper-divisor sum of 4,880,852, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 11731

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,869,392

Proper Divisor Sum 4,880,852

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3988531 ← → #3988541

Radix Representation

Decimal	3988540
Binary	1111001101110000111100 (22 bits)
Octal	0o17156074
Hexadecimal	0x3CDC3C

Divisor Catalog (24)

Collatz Trajectory (123 steps to reach 1)

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

3,988,540 1,994,270 997,135 2,991,406 1,495,703 4,487,110 2,243,555 6,730,666 3,365,333 10,096,000 5,048,000 2,524,000 1,262,000 631,000 315,500 157,750 78,875 236,626 118,313 354,940 177,470 88,735 266,206 133,103 399,310 199,655 598,966 299,483 898,450 449,225 1,347,676 673,838 336,919 1,010,758 505,379 1,516,138 758,069 2,274,208 1,137,104 568,552 284,276 142,138 71,069 213,208 106,604 53,302 26,651 79,954 39,977 119,932 59,966 29,983 89,950 44,975 134,926 67,463 202,390 101,195 303,586 151,793

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