8,056,632

2³ × 3 × 335693

Starting at 8,056,632, the Collatz iteration reaches 1 after 186 steps. The first transition is 4028316; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 335693

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 20,141,640

Proper Divisor Sum 12,085,008

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8056619 ← → #8056637

Radix Representation

Decimal	8056632
Binary	11110101110111100111000 (23 bits)
Octal	0o36567470
Hexadecimal	0x7AEF38

Divisor Catalog (16)

1 2 3 4 6 8 12 24 335,693 671,386 1,007,079 1,342,772 2,014,158 2,685,544 4,028,316 8,056,632

Collatz Trajectory (186 steps to reach 1)

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

8,056,632 4,028,316 2,014,158 1,007,079 3,021,238 1,510,619 4,531,858 2,265,929 6,797,788 3,398,894 1,699,447 5,098,342 2,549,171 7,647,514 3,823,757 11,471,272 5,735,636 2,867,818 1,433,909 4,301,728 2,150,864 1,075,432 537,716 268,858 134,429 403,288 201,644 100,822 50,411 151,234 75,617 226,852 113,426 56,713 170,140 85,070 42,535 127,606 63,803 191,410 95,705 287,116 143,558 71,779 215,338 107,669 323,008 161,504 80,752 40,376 20,188 10,094 5,047 15,142 7,571 22,714 11,357 34,072 17,036 8,518

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