4,458,000

2⁴ × 3 × 5³ × 743

Starting at 4,458,000, the Collatz iteration reaches 1 after 211 steps. The first transition is 2229000; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 743

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 14,391,936

Proper Divisor Sum 9,933,936

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4457987 ← → #4458001

Radix Representation

Decimal	4458000
Binary	10001000000011000010000 (23 bits)
Octal	0o21003020
Hexadecimal	0x440610

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 743 750 1,000 1,200 1,486 1,500 2,000 2,229 2,972 3,000 3,715 4,458 5,944 6,000 7,430 8,916 11,145 11,888 14,860 17,832 18,575 22,290 29,720 35,664 37,150 44,580 55,725

Collatz Trajectory (211 steps to reach 1)

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

4,458,000 2,229,000 1,114,500 557,250 278,625 835,876 417,938 208,969 626,908 313,454 156,727 470,182 235,091 705,274 352,637 1,057,912 528,956 264,478 132,239 396,718 198,359 595,078 297,539 892,618 446,309 1,338,928 669,464 334,732 167,366 83,683 251,050 125,525 376,576 188,288 94,144 47,072 23,536 11,768 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295

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