3,584,034

2 × 3³ × 31 × 2141

Starting at 3,584,034, the Collatz iteration reaches 1 after 97 steps. The first transition is 1792017; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 31 × 2141

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 8,225,280

Proper Divisor Sum 4,641,246

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3584033 ← → #3584047

Radix Representation

Decimal	3584034
Binary	1101101011000000100010 (22 bits)
Octal	0o15530042
Hexadecimal	0x36B022

Divisor Catalog (32)

1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1,674 2,141 4,282 6,423 12,846 19,269 38,538 57,807 66,371 115,614 132,742 199,113 398,226 597,339 1,194,678 1,792,017 3,584,034

Collatz Trajectory (97 steps to reach 1)

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

3,584,034 1,792,017 5,376,052 2,688,026 1,344,013 4,032,040 2,016,020 1,008,010 504,005 1,512,016 756,008 378,004 189,002 94,501 283,504 141,752 70,876 35,438 17,719 53,158 26,579 79,738 39,869 119,608 59,804 29,902 14,951 44,854 22,427 67,282 33,641 100,924 50,462 25,231 75,694 37,847 113,542 56,771 170,314 85,157 255,472 127,736 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736

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