7,797,516

2² × 3 × 649793

Starting at 7,797,516, the Collatz iteration reaches 1 after 124 steps. The first transition is 3898758; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 649793

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 18,194,232

Proper Divisor Sum 10,396,716

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7797511 ← → #7797521

Radix Representation

Decimal	7797516
Binary	11101101111101100001100 (23 bits)
Octal	0o35575414
Hexadecimal	0x76FB0C

Divisor Catalog (12)

1 2 3 4 6 12 649,793 1,299,586 1,949,379 2,599,172 3,898,758 7,797,516

Collatz Trajectory (124 steps to reach 1)

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

7,797,516 3,898,758 1,949,379 5,848,138 2,924,069 8,772,208 4,386,104 2,193,052 1,096,526 548,263 1,644,790 822,395 2,467,186 1,233,593 3,700,780 1,850,390 925,195 2,775,586 1,387,793 4,163,380 2,081,690 1,040,845 3,122,536 1,561,268 780,634 390,317 1,170,952 585,476 292,738 146,369 439,108 219,554 109,777 329,332 164,666 82,333 247,000 123,500 61,750 30,875 92,626 46,313 138,940 69,470 34,735 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243

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