1,033,145

5 × 127 × 1627

Starting at 1,033,145, the Collatz iteration reaches 1 after 165 steps. The first transition is 3099436; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 127 × 1627

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,250,304

Proper Divisor Sum 217,159

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #1033139 ← → #1033171

Radix Representation

Decimal	1033145
Binary	11111100001110111001 (20 bits)
Octal	0o3741671
Hexadecimal	0xFC3B9

Divisor Catalog (8)

1 5 127 635 1,627 8,135 206,629 1,033,145

Collatz Trajectory (165 steps to reach 1)

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

1,033,145 3,099,436 1,549,718 774,859 2,324,578 1,162,289 3,486,868 1,743,434 871,717 2,615,152 1,307,576 653,788 326,894 163,447 490,342 245,171 735,514 367,757 1,103,272 551,636 275,818 137,909 413,728 206,864 103,432 51,716 25,858 12,929 38,788 19,394 9,697 29,092 14,546 7,273 21,820 10,910 5,455 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556

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