1,044,693

3² × 13 × 8929

Starting at 1,044,693, the Collatz iteration reaches 1 after 183 steps. The first transition is 3134080; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 8929

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,625,260

Proper Divisor Sum 580,567

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1044689 ← → #1044697

Radix Representation

Decimal	1044693
Binary	11111111000011010101 (20 bits)
Octal	0o3770325
Hexadecimal	0xFF0D5

Divisor Catalog (12)

1 3 9 13 39 117 8,929 26,787 80,361 116,077 348,231 1,044,693

Collatz Trajectory (183 steps to reach 1)

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

1,044,693 3,134,080 1,567,040 783,520 391,760 195,880 97,940 48,970 24,485 73,456 36,728 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211 1,431,634

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