8,107,084

2² × 797 × 2543

Starting at 8,107,084, the Collatz iteration reaches 1 after 222 steps. The first transition is 4053542; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 797 × 2543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,210,784

Proper Divisor Sum 6,103,700

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8107051 ← → #8107097

Radix Representation

Decimal	8107084
Binary	11110111011010001001100 (23 bits)
Octal	0o36732114
Hexadecimal	0x7BB44C

Divisor Catalog (12)

1 2 4 797 1,594 2,543 3,188 5,086 10,172 2,026,771 4,053,542 8,107,084

Collatz Trajectory (222 steps to reach 1)

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

8,107,084 4,053,542 2,026,771 6,080,314 3,040,157 9,120,472 4,560,236 2,280,118 1,140,059 3,420,178 1,710,089 5,130,268 2,565,134 1,282,567 3,847,702 1,923,851 5,771,554 2,885,777 8,657,332 4,328,666 2,164,333 6,493,000 3,246,500 1,623,250 811,625 2,434,876 1,217,438 608,719 1,826,158 913,079 2,739,238 1,369,619 4,108,858 2,054,429 6,163,288 3,081,644 1,540,822 770,411 2,311,234 1,155,617 3,466,852 1,733,426 866,713 2,600,140 1,300,070 650,035 1,950,106 975,053 2,925,160 1,462,580 731,290 365,645 1,096,936 548,468 274,234 137,117 411,352 205,676 102,838 51,419

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