3,767,184

2⁴ × 3² × 26161

Starting at 3,767,184, the Collatz iteration reaches 1 after 128 steps. The first transition is 1883592; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 26161

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 10,543,286

Proper Divisor Sum 6,776,102

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3767173 ← → #3767207

Radix Representation

Decimal	3767184
Binary	1110010111101110010000 (22 bits)
Octal	0o16275620
Hexadecimal	0x397B90

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 26,161 52,322 78,483 104,644 156,966 209,288 235,449 313,932 418,576 470,898 627,864 941,796 1,255,728 1,883,592 3,767,184

Collatz Trajectory (128 steps to reach 1)

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

3,767,184 1,883,592 941,796 470,898 235,449 706,348 353,174 176,587 529,762 264,881 794,644 397,322 198,661 595,984 297,992 148,996 74,498 37,249 111,748 55,874 27,937 83,812 41,906 20,953 62,860 31,430 15,715 47,146 23,573 70,720 35,360 17,680 8,840 4,420 2,210 1,105 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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