λ
Sigma Notebook

4,543,200

25 × 32 × 52 × 631
Abundant Even Composite

4,543,200 is even and not a perfect square. Its factorization is 2^5 × 3^2 × 5^2 × 631 and its 108 divisors sum to 16,045,848.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 631
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 108
Divisor Sum (σ) 16,045,848
Proper Divisor Sum 11,502,648
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4543139 ← → #4543207

Radix Representation

Decimal 4543200
Binary 10001010101001011100000 (23 bits)
Octal 0o21251340
Hexadecimal 0x4552E0

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 631 720 800 900 1,200 1,262 1,440 1,800 1,893 2,400 2,524 3,155 3,600 3,786 5,048

Collatz Trajectory (87 steps to reach 1)

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

4,543,200 2,271,600 1,135,800 567,900 283,950 141,975 425,926 212,963 638,890 319,445 958,336 479,168 239,584 119,792 59,896 29,948 14,974 7,487 22,462 11,231 33,694 16,847 50,542 25,271 75,814 37,907 113,722 56,861 170,584 85,292 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134

More profiles

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