5,182,016

2⁶ × 7 × 43 × 269

Starting at 5,182,016, the Collatz iteration reaches 1 after 219 steps. The first transition is 2591008; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 7 × 43 × 269

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 12,070,080

Proper Divisor Sum 6,888,064

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #5181997 ← → #5182027

Radix Representation

Decimal	5182016
Binary	10011110001001001000000 (23 bits)
Octal	0o23611100
Hexadecimal	0x4F1240

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 269 301 344 448 538 602 688 1,076 1,204 1,376 1,883 2,152 2,408 2,752 3,766 4,304 4,816 7,532 8,608 9,632 11,567 15,064 17,216 19,264 23,134 30,128 46,268 60,256 80,969 92,536 120,512 161,938 185,072 323,876 370,144 647,752 740,288 1,295,504 2,591,008 5,182,016

Collatz Trajectory (219 steps to reach 1)

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

5,182,016 2,591,008 1,295,504 647,752 323,876 161,938 80,969 242,908 121,454 60,727 182,182 91,091 273,274 136,637 409,912 204,956 102,478 51,239 153,718 76,859 230,578 115,289 345,868 172,934 86,467 259,402 129,701 389,104 194,552 97,276 48,638 24,319 72,958 36,479 109,438 54,719 164,158 82,079 246,238 123,119 369,358 184,679 554,038 277,019 831,058 415,529 1,246,588 623,294 311,647 934,942 467,471 1,402,414 701,207 2,103,622 1,051,811 3,155,434 1,577,717 4,733,152 2,366,576 1,183,288

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