λ
Zalai Atlas

4,367,800

23 × 52 × 21839
Abundant Even Composite

4,367,800 has the prime decomposition 2^3 × 5^2 × 21839. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 21839
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,155,600
Proper Divisor Sum 5,787,800
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4367761 ← → #4367801

Radix Representation

Decimal 4367800
Binary 10000101010010110111000 (23 bits)
Octal 0o20522670
Hexadecimal 0x42A5B8

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 21,839 43,678 87,356 109,195 174,712 218,390 436,780 545,975 873,560 1,091,950 2,183,900 4,367,800

Collatz Trajectory (149 steps to reach 1)

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

4,367,800 2,183,900 1,091,950 545,975 1,637,926 818,963 2,456,890 1,228,445 3,685,336 1,842,668 921,334 460,667 1,382,002 691,001 2,073,004 1,036,502 518,251 1,554,754 777,377 2,332,132 1,166,066 583,033 1,749,100 874,550 437,275 1,311,826 655,913 1,967,740 983,870 491,935 1,475,806 737,903 2,213,710 1,106,855 3,320,566 1,660,283 4,980,850 2,490,425 7,471,276 3,735,638 1,867,819 5,603,458 2,801,729 8,405,188 4,202,594 2,101,297 6,303,892 3,151,946 1,575,973 4,727,920 2,363,960 1,181,980 590,990 295,495 886,486 443,243 1,329,730 664,865 1,994,596 997,298

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