1,006,012

2² × 7 × 19 × 31 × 61

Starting at 1,006,012, the Collatz iteration reaches 1 after 90 steps. The first transition is 503006; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 31 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,222,080

Proper Divisor Sum 1,216,068

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #1006007 ← → #1006021

Radix Representation

Decimal	1006012
Binary	11110101100110111100 (20 bits)
Octal	0o3654674
Hexadecimal	0xF59BC

Divisor Catalog (48)

1 2 4 7 14 19 28 31 38 61 62 76 122 124 133 217 244 266 427 434 532 589 854 868 1,159 1,178 1,708 1,891 2,318 2,356 3,782 4,123 4,636 7,564 8,113 8,246 13,237 16,226 16,492 26,474 32,452 35,929 52,948 71,858 143,716 251,503 503,006 1,006,012

Collatz Trajectory (90 steps to reach 1)

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

1,006,012 503,006 251,503 754,510 377,255 1,131,766 565,883 1,697,650 848,825 2,546,476 1,273,238 636,619 1,909,858 954,929 2,864,788 1,432,394 716,197 2,148,592 1,074,296 537,148 268,574 134,287 402,862 201,431 604,294 302,147 906,442 453,221 1,359,664 679,832 339,916 169,958 84,979 254,938 127,469 382,408 191,204 95,602 47,801 143,404 71,702 35,851 107,554 53,777 161,332 80,666 40,333 121,000 60,500 30,250 15,125 45,376 22,688 11,344 5,672 2,836 1,418 709 2,128 1,064

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