8,257,937

17 × 263 × 1847

Starting at 8,257,937, the Collatz iteration reaches 1 after 106 steps. The first transition is 24773812; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 263 × 1847

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,781,696

Proper Divisor Sum 523,759

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8257889 ← → #8257957

Radix Representation

Decimal	8257937
Binary	11111100000000110010001 (23 bits)
Octal	0o37400621
Hexadecimal	0x7E0191

Divisor Catalog (8)

1 17 263 1,847 4,471 31,399 485,761 8,257,937

Collatz Trajectory (106 steps to reach 1)

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

8,257,937 24,773,812 12,386,906 6,193,453 18,580,360 9,290,180 4,645,090 2,322,545 6,967,636 3,483,818 1,741,909 5,225,728 2,612,864 1,306,432 653,216 326,608 163,304 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747

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