2,973,594

2 × 3 × 13 × 67 × 569

Starting at 2,973,594, the Collatz iteration reaches 1 after 164 steps. The first transition is 1486797; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 67 × 569

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,511,680

Proper Divisor Sum 3,538,086

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2973583 ← → #2973611

Radix Representation

Decimal	2973594
Binary	1011010101111110011010 (22 bits)
Octal	0o13257632
Hexadecimal	0x2D5F9A

Divisor Catalog (32)

1 2 3 6 13 26 39 67 78 134 201 402 569 871 1,138 1,707 1,742 2,613 3,414 5,226 7,397 14,794 22,191 38,123 44,382 76,246 114,369 228,738 495,599 991,198 1,486,797 2,973,594

Collatz Trajectory (164 steps to reach 1)

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

2,973,594 1,486,797 4,460,392 2,230,196 1,115,098 557,549 1,672,648 836,324 418,162 209,081 627,244 313,622 156,811 470,434 235,217 705,652 352,826 176,413 529,240 264,620 132,310 66,155 198,466 99,233 297,700 148,850 74,425 223,276 111,638 55,819 167,458 83,729 251,188 125,594 62,797 188,392 94,196 47,098 23,549 70,648 35,324 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902 75,451 226,354 113,177

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