8,217,850

2 × 5² × 164357

Starting at 8,217,850, the Collatz iteration reaches 1 after 168 steps. The first transition is 4108925; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 164357

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,285,294

Proper Divisor Sum 7,067,444

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8217841 ← → #8217871

Radix Representation

Decimal	8217850
Binary	11111010110010011111010 (23 bits)
Octal	0o37262372
Hexadecimal	0x7D64FA

Divisor Catalog (12)

1 2 5 10 25 50 164,357 328,714 821,785 1,643,570 4,108,925 8,217,850

Collatz Trajectory (168 steps to reach 1)

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

8,217,850 4,108,925 12,326,776 6,163,388 3,081,694 1,540,847 4,622,542 2,311,271 6,933,814 3,466,907 10,400,722 5,200,361 15,601,084 7,800,542 3,900,271 11,700,814 5,850,407 17,551,222 8,775,611 26,326,834 13,163,417 39,490,252 19,745,126 9,872,563 29,617,690 14,808,845 44,426,536 22,213,268 11,106,634 5,553,317 16,659,952 8,329,976 4,164,988 2,082,494 1,041,247 3,123,742 1,561,871 4,685,614 2,342,807 7,028,422 3,514,211 10,542,634 5,271,317 15,813,952 7,906,976 3,953,488 1,976,744 988,372 494,186 247,093 741,280 370,640 185,320 92,660 46,330 23,165 69,496 34,748 17,374 8,687

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