4,230,450

2 × 3² × 5² × 7 × 17 × 79

Starting at 4,230,450, the Collatz iteration reaches 1 after 105 steps. The first transition is 2115225; the starting value is even with 144 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 7 × 17 × 79

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,927,680

Proper Divisor Sum 9,697,230

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4230419 ← → #4230451

Radix Representation

Decimal	4230450
Binary	10000001000110100110010 (23 bits)
Octal	0o20106462
Hexadecimal	0x408D32

Divisor Catalog (60 of 144)

1 2 3 5 6 7 9 10 14 15 17 18 21 25 30 34 35 42 45 50 51 63 70 75 79 85 90 102 105 119 126 150 153 158 170 175 210 225 237 238 255 306 315 350 357 395 425 450 474 510 525 553 595 630 711 714 765 790 850 1,050

Collatz Trajectory (105 steps to reach 1)

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

4,230,450 2,115,225 6,345,676 3,172,838 1,586,419 4,759,258 2,379,629 7,138,888 3,569,444 1,784,722 892,361 2,677,084 1,338,542 669,271 2,007,814 1,003,907 3,011,722 1,505,861 4,517,584 2,258,792 1,129,396 564,698 282,349 847,048 423,524 211,762 105,881 317,644 158,822 79,411 238,234 119,117 357,352 178,676 89,338 44,669 134,008 67,004 33,502 16,751 50,254 25,127 75,382 37,691 113,074 56,537 169,612 84,806 42,403 127,210 63,605 190,816 95,408 47,704 23,852 11,926 5,963 17,890 8,945 26,836

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