3,161,184

2⁵ × 3 × 13 × 17 × 149

Starting at 3,161,184, the Collatz iteration reaches 1 after 120 steps. The first transition is 1580592; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 13 × 17 × 149

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 9,525,600

Proper Divisor Sum 6,364,416

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3161183 ← → #3161209

Radix Representation

Decimal	3161184
Binary	1100000011110001100000 (22 bits)
Octal	0o14036140
Hexadecimal	0x303C60

Divisor Catalog (60 of 96)

1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 149 156 204 208 221 272 298 312 408 416 442 447 544 596 624 663 816 884 894 1,192 1,248 1,326 1,632 1,768 1,788 1,937 2,384 2,533 2,652 3,536 3,576 3,874 4,768 5,066 5,304 5,811

Collatz Trajectory (120 steps to reach 1)

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

3,161,184 1,580,592 790,296 395,148 197,574 98,787 296,362 148,181 444,544 222,272 111,136 55,568 27,784 13,892 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566

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