λ
Prime Ledger

4,384,732

22 × 11 × 227 × 439
Deficient Even Composite

4,384,732 has the prime decomposition 2^2 × 11 × 227 × 439. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 227 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,426,880
Proper Divisor Sum 4,042,148
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4384727 ← → #4384769

Radix Representation

Decimal 4384732
Binary 10000101110011111011100 (23 bits)
Octal 0o20563734
Hexadecimal 0x42E7DC

Divisor Catalog (24)

1 2 4 11 22 44 227 439 454 878 908 1,756 2,497 4,829 4,994 9,658 9,988 19,316 99,653 199,306 398,612 1,096,183 2,192,366 4,384,732

Collatz Trajectory (118 steps to reach 1)

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

4,384,732 2,192,366 1,096,183 3,288,550 1,644,275 4,932,826 2,466,413 7,399,240 3,699,620 1,849,810 924,905 2,774,716 1,387,358 693,679 2,081,038 1,040,519 3,121,558 1,560,779 4,682,338 2,341,169 7,023,508 3,511,754 1,755,877 5,267,632 2,633,816 1,316,908 658,454 329,227 987,682 493,841 1,481,524 740,762 370,381 1,111,144 555,572 277,786 138,893 416,680 208,340 104,170 52,085 156,256 78,128 39,064 19,532 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637

More profiles

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