3,782,448

2⁴ × 3² × 26267

Starting at 3,782,448, the Collatz iteration reaches 1 after 79 steps. The first transition is 1891224; the starting value is even with 30 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 26267

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 30

Divisor Sum (σ) 10,586,004

Proper Divisor Sum 6,803,556

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3782447 ← → #3782453

Radix Representation

Decimal	3782448
Binary	1110011011011100110000 (22 bits)
Octal	0o16333460
Hexadecimal	0x39B730

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 26,267 52,534 78,801 105,068 157,602 210,136 236,403 315,204 420,272 472,806 630,408 945,612 1,260,816 1,891,224 3,782,448

Collatz Trajectory (79 steps to reach 1)

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

3,782,448 1,891,224 945,612 472,806 236,403 709,210 354,605 1,063,816 531,908 265,954 132,977 398,932 199,466 99,733 299,200 149,600 74,800 37,400 18,700 9,350 4,675 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19

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