7,302,216

2³ × 3 × 304259

Starting at 7,302,216, the Collatz iteration reaches 1 after 160 steps. The first transition is 3651108; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 304259

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,255,600

Proper Divisor Sum 10,953,384

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7302187 ← → #7302241

Radix Representation

Decimal	7302216
Binary	11011110110110001001000 (23 bits)
Octal	0o33666110
Hexadecimal	0x6F6C48

Divisor Catalog (16)

1 2 3 4 6 8 12 24 304,259 608,518 912,777 1,217,036 1,825,554 2,434,072 3,651,108 7,302,216

Collatz Trajectory (160 steps to reach 1)

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

7,302,216 3,651,108 1,825,554 912,777 2,738,332 1,369,166 684,583 2,053,750 1,026,875 3,080,626 1,540,313 4,620,940 2,310,470 1,155,235 3,465,706 1,732,853 5,198,560 2,599,280 1,299,640 649,820 324,910 162,455 487,366 243,683 731,050 365,525 1,096,576 548,288 274,144 137,072 68,536 34,268 17,134 8,567 25,702 12,851 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215

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