7,927,243

109 × 72727

Starting at 7,927,243, the Collatz iteration reaches 1 after 155 steps. The first transition is 23781730; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 109 × 72727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,000,080

Proper Divisor Sum 72,837

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7927229 ← → #7927259

Radix Representation

Decimal	7927243
Binary	11110001111010111001011 (23 bits)
Octal	0o36172713
Hexadecimal	0x78F5CB

Divisor Catalog (4)

1 109 72,727 7,927,243

Collatz Trajectory (155 steps to reach 1)

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

7,927,243 23,781,730 11,890,865 35,672,596 17,836,298 8,918,149 26,754,448 13,377,224 6,688,612 3,344,306 1,672,153 5,016,460 2,508,230 1,254,115 3,762,346 1,881,173 5,643,520 2,821,760 1,410,880 705,440 352,720 176,360 88,180 44,090 22,045 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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