λ
Prime Ledger

3,842,420

22 × 5 × 192121
Abundant Even Composite

3,842,420 has the prime decomposition 2^2 × 5 × 192121. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 192121
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,069,124
Proper Divisor Sum 4,226,704
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3842411 ← → #3842431

Radix Representation

Decimal 3842420
Binary 1110101010000101110100 (22 bits)
Octal 0o16520564
Hexadecimal 0x3AA174

Divisor Catalog (12)

1 2 4 5 10 20 192,121 384,242 768,484 960,605 1,921,210 3,842,420

Collatz Trajectory (154 steps to reach 1)

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

3,842,420 1,921,210 960,605 2,881,816 1,440,908 720,454 360,227 1,080,682 540,341 1,621,024 810,512 405,256 202,628 101,314 50,657 151,972 75,986 37,993 113,980 56,990 28,495 85,486 42,743 128,230 64,115 192,346 96,173 288,520 144,260 72,130 36,065 108,196 54,098 27,049 81,148 40,574 20,287 60,862 30,431 91,294 45,647 136,942 68,471 205,414 102,707 308,122 154,061 462,184 231,092 115,546 57,773 173,320 86,660 43,330 21,665 64,996 32,498 16,249 48,748 24,374

More profiles

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