λ
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4,455,900

22 × 32 × 52 × 4951
Abundant Even Composite

4,455,900 factors as 2^2 × 3^2 × 5^2 × 4951. Its 54 positive divisors give a proper-divisor sum of 9,513,692, so this integer is abundant. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5^2 × 4951
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 13,969,592
Proper Divisor Sum 9,513,692
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4455881 ← → #4455901

Radix Representation

Decimal 4455900
Binary 10000111111110111011100 (23 bits)
Octal 0o20776734
Hexadecimal 0x43FDDC

Divisor Catalog (54)

1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 4,951 9,902 14,853 19,804 24,755 29,706 44,559 49,510 59,412 74,265 89,118 99,020 123,775 148,530 178,236 222,795 247,550 297,060 371,325 445,590 495,100 742,650 891,180 1,113,975 1,485,300 2,227,950 4,455,900

Collatz Trajectory (149 steps to reach 1)

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

4,455,900 2,227,950 1,113,975 3,341,926 1,670,963 5,012,890 2,506,445 7,519,336 3,759,668 1,879,834 939,917 2,819,752 1,409,876 704,938 352,469 1,057,408 528,704 264,352 132,176 66,088 33,044 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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