8,828,244

2² × 3³ × 43 × 1901

Starting at 8,828,244, the Collatz iteration reaches 1 after 181 steps. The first transition is 4414122; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 43 × 1901

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 23,432,640

Proper Divisor Sum 14,604,396

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8828227 ← → #8828269

Radix Representation

Decimal	8828244
Binary	100001101011010101010100 (24 bits)
Octal	0o41532524
Hexadecimal	0x86B554

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1,161 1,548 1,901 2,322 3,802 4,644 5,703 7,604 11,406 17,109 22,812 34,218 51,327 68,436 81,743 102,654 163,486 205,308 245,229 326,972 490,458 735,687 980,916 1,471,374 2,207,061 2,942,748 4,414,122 8,828,244

Collatz Trajectory (181 steps to reach 1)

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

8,828,244 4,414,122 2,207,061 6,621,184 3,310,592 1,655,296 827,648 413,824 206,912 103,456 51,728 25,864 12,932 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206 112,103 336,310

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