1,012,156

2² × 137 × 1847

Starting at 1,012,156, the Collatz iteration reaches 1 after 82 steps. The first transition is 506078; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 137 × 1847

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,785,168

Proper Divisor Sum 773,012

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1012147 ← → #1012159

Radix Representation

Decimal	1012156
Binary	11110111000110111100 (20 bits)
Octal	0o3670674
Hexadecimal	0xF71BC

Divisor Catalog (12)

1 2 4 137 274 548 1,847 3,694 7,388 253,039 506,078 1,012,156

Collatz Trajectory (82 steps to reach 1)

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

1,012,156 506,078 253,039 759,118 379,559 1,138,678 569,339 1,708,018 854,009 2,562,028 1,281,014 640,507 1,921,522 960,761 2,882,284 1,441,142 720,571 2,161,714 1,080,857 3,242,572 1,621,286 810,643 2,431,930 1,215,965 3,647,896 1,823,948 911,974 455,987 1,367,962 683,981 2,051,944 1,025,972 512,986 256,493 769,480 384,740 192,370 96,185 288,556 144,278 72,139 216,418 108,209 324,628 162,314 81,157 243,472 121,736 60,868 30,434 15,217 45,652 22,826 11,413 34,240 17,120 8,560 4,280 2,140 1,070

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