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Atlas › Integer Profiles › Node 3,988,100

3,988,100

22 × 52 × 19 × 2099
Abundant Even Composite

3,988,100 factors as 2^2 × 5^2 × 19 × 2099. Its 36 positive divisors give a proper-divisor sum of 5,125,900, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 19 × 2099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 9,114,000
Proper Divisor Sum 5,125,900
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3988097 ← → #3988129

Radix Representation

Decimal 3988100
Binary 1111001101101010000100 (22 bits)
Octal 0o17155204
Hexadecimal 0x3CDA84

Divisor Catalog (36)

1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 950 1,900 2,099 4,198 8,396 10,495 20,990 39,881 41,980 52,475 79,762 104,950 159,524 199,405 209,900 398,810 797,620 997,025 1,994,050 3,988,100

Collatz Trajectory (154 steps to reach 1)

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

3,988,100 1,994,050 997,025 2,991,076 1,495,538 747,769 2,243,308 1,121,654 560,827 1,682,482 841,241 2,523,724 1,261,862 630,931 1,892,794 946,397 2,839,192 1,419,596 709,798 354,899 1,064,698 532,349 1,597,048 798,524 399,262 199,631 598,894 299,447 898,342 449,171 1,347,514 673,757 2,021,272 1,010,636 505,318 252,659 757,978 378,989 1,136,968 568,484 284,242 142,121 426,364 213,182 106,591 319,774 159,887 479,662 239,831 719,494 359,747 1,079,242 539,621 1,618,864 809,432 404,716 202,358 101,179 303,538 151,769

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