λ
Prime Ledger

5,225,652

22 × 32 × 379 × 383
Abundant Even Composite

5,225,652 has the prime decomposition 2^2 × 3^2 × 379 × 383. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 379 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,278,720
Proper Divisor Sum 8,053,068
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5225629 ← → #5225653

Radix Representation

Decimal 5225652
Binary 10011111011110010110100 (23 bits)
Octal 0o23736264
Hexadecimal 0x4FBCB4

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 379 383 758 766 1,137 1,149 1,516 1,532 2,274 2,298 3,411 3,447 4,548 4,596 6,822 6,894 13,644 13,788 145,157 290,314 435,471 580,628 870,942 1,306,413 1,741,884 2,612,826 5,225,652

Collatz Trajectory (144 steps to reach 1)

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

5,225,652 2,612,826 1,306,413 3,919,240 1,959,620 979,810 489,905 1,469,716 734,858 367,429 1,102,288 551,144 275,572 137,786 68,893 206,680 103,340 51,670 25,835 77,506 38,753 116,260 58,130 29,065 87,196 43,598 21,799 65,398 32,699 98,098 49,049 147,148 73,574 36,787 110,362 55,181 165,544 82,772 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155

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