λ
Prime Ledger

3,992,420

22 × 5 × 199621
Abundant Even Composite

3,992,420 has the prime decomposition 2^2 × 5 × 199621. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 199621
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,384,124
Proper Divisor Sum 4,391,704
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3992419 ← → #3992441

Radix Representation

Decimal 3992420
Binary 1111001110101101100100 (22 bits)
Octal 0o17165544
Hexadecimal 0x3CEB64

Divisor Catalog (12)

1 2 4 5 10 20 199,621 399,242 798,484 998,105 1,996,210 3,992,420

Collatz Trajectory (154 steps to reach 1)

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

3,992,420 1,996,210 998,105 2,994,316 1,497,158 748,579 2,245,738 1,122,869 3,368,608 1,684,304 842,152 421,076 210,538 105,269 315,808 157,904 78,952 39,476 19,738 9,869 29,608 14,804 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121

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