λ
Prime Ledger

3,840,572

22 × 17 × 56479
Deficient Even Composite

3,840,572 has the prime decomposition 2^2 × 17 × 56479. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 56479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,116,480
Proper Divisor Sum 3,275,908
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3840547 ← → #3840601

Radix Representation

Decimal 3840572
Binary 1110101001101000111100 (22 bits)
Octal 0o16515074
Hexadecimal 0x3A9A3C

Divisor Catalog (12)

1 2 4 17 34 68 56,479 112,958 225,916 960,143 1,920,286 3,840,572

Collatz Trajectory (216 steps to reach 1)

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

3,840,572 1,920,286 960,143 2,880,430 1,440,215 4,320,646 2,160,323 6,480,970 3,240,485 9,721,456 4,860,728 2,430,364 1,215,182 607,591 1,822,774 911,387 2,734,162 1,367,081 4,101,244 2,050,622 1,025,311 3,075,934 1,537,967 4,613,902 2,306,951 6,920,854 3,460,427 10,381,282 5,190,641 15,571,924 7,785,962 3,892,981 11,678,944 5,839,472 2,919,736 1,459,868 729,934 364,967 1,094,902 547,451 1,642,354 821,177 2,463,532 1,231,766 615,883 1,847,650 923,825 2,771,476 1,385,738 692,869 2,078,608 1,039,304 519,652 259,826 129,913 389,740 194,870 97,435 292,306 146,153

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