8,197,862

2 × 337 × 12163

Starting at 8,197,862, the Collatz iteration reaches 1 after 80 steps. The first transition is 4098931; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 337 × 12163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,334,296

Proper Divisor Sum 4,136,434

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8197837 ← → #8197901

Radix Representation

Decimal	8197862
Binary	11111010001011011100110 (23 bits)
Octal	0o37213346
Hexadecimal	0x7D16E6

Divisor Catalog (8)

1 2 337 674 12,163 24,326 4,098,931 8,197,862

Collatz Trajectory (80 steps to reach 1)

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

8,197,862 4,098,931 12,296,794 6,148,397 18,445,192 9,222,596 4,611,298 2,305,649 6,916,948 3,458,474 1,729,237 5,187,712 2,593,856 1,296,928 648,464 324,232 162,116 81,058 40,529 121,588 60,794 30,397 91,192 45,596 22,798 11,399 34,198 17,099 51,298 25,649 76,948 38,474 19,237 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448

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