8,223,450

2 × 3 × 5² × 73 × 751

Starting at 8,223,450, the Collatz iteration reaches 1 after 142 steps. The first transition is 4111725; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 73 × 751

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,701,056

Proper Divisor Sum 12,477,606

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8223421 ← → #8223451

Radix Representation

Decimal	8223450
Binary	11111010111101011011010 (23 bits)
Octal	0o37275332
Hexadecimal	0x7D7ADA

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 73 75 146 150 219 365 438 730 751 1,095 1,502 1,825 2,190 2,253 3,650 3,755 4,506 5,475 7,510 10,950 11,265 18,775 22,530 37,550 54,823 56,325 109,646 112,650 164,469 274,115 328,938 548,230 822,345 1,370,575 1,644,690 2,741,150 4,111,725 8,223,450

Collatz Trajectory (142 steps to reach 1)

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

8,223,450 4,111,725 12,335,176 6,167,588 3,083,794 1,541,897 4,625,692 2,312,846 1,156,423 3,469,270 1,734,635 5,203,906 2,601,953 7,805,860 3,902,930 1,951,465 5,854,396 2,927,198 1,463,599 4,390,798 2,195,399 6,586,198 3,293,099 9,879,298 4,939,649 14,818,948 7,409,474 3,704,737 11,114,212 5,557,106 2,778,553 8,335,660 4,167,830 2,083,915 6,251,746 3,125,873 9,377,620 4,688,810 2,344,405 7,033,216 3,516,608 1,758,304 879,152 439,576 219,788 109,894 54,947 164,842 82,421 247,264 123,632 61,816 30,908 15,454 7,727 23,182 11,591 34,774 17,387 52,162

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