λ
Prime Ledger

3,771,636

22 × 3 × 11 × 28573
Abundant Even Composite

3,771,636 has the prime decomposition 2^2 × 3 × 11 × 28573. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 28573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,600,864
Proper Divisor Sum 5,829,228
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3771623 ← → #3771641

Radix Representation

Decimal 3771636
Binary 1110011000110011110100 (22 bits)
Octal 0o16306364
Hexadecimal 0x398CF4

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 28,573 57,146 85,719 114,292 171,438 314,303 342,876 628,606 942,909 1,257,212 1,885,818 3,771,636

Collatz Trajectory (110 steps to reach 1)

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

3,771,636 1,885,818 942,909 2,828,728 1,414,364 707,182 353,591 1,060,774 530,387 1,591,162 795,581 2,386,744 1,193,372 596,686 298,343 895,030 447,515 1,342,546 671,273 2,013,820 1,006,910 503,455 1,510,366 755,183 2,265,550 1,132,775 3,398,326 1,699,163 5,097,490 2,548,745 7,646,236 3,823,118 1,911,559 5,734,678 2,867,339 8,602,018 4,301,009 12,903,028 6,451,514 3,225,757 9,677,272 4,838,636 2,419,318 1,209,659 3,628,978 1,814,489 5,443,468 2,721,734 1,360,867 4,082,602 2,041,301 6,123,904 3,061,952 1,530,976 765,488 382,744 191,372 95,686 47,843 143,530

More profiles

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