7,279,206

2 × 3 × 11 × 110291

Starting at 7,279,206, the Collatz iteration reaches 1 after 204 steps. The first transition is 3639603; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 110291

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,882,048

Proper Divisor Sum 8,602,842

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7279199 ← → #7279211

Radix Representation

Decimal	7279206
Binary	11011110001001001100110 (23 bits)
Octal	0o33611146
Hexadecimal	0x6F1266

Divisor Catalog (16)

1 2 3 6 11 22 33 66 110,291 220,582 330,873 661,746 1,213,201 2,426,402 3,639,603 7,279,206

Collatz Trajectory (204 steps to reach 1)

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

7,279,206 3,639,603 10,918,810 5,459,405 16,378,216 8,189,108 4,094,554 2,047,277 6,141,832 3,070,916 1,535,458 767,729 2,303,188 1,151,594 575,797 1,727,392 863,696 431,848 215,924 107,962 53,981 161,944 80,972 40,486 20,243 60,730 30,365 91,096 45,548 22,774 11,387 34,162 17,081 51,244 25,622 12,811 38,434 19,217 57,652 28,826 14,413 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702

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