7,766,084

2² × 29 × 66949

Starting at 7,766,084, the Collatz iteration reaches 1 after 186 steps. The first transition is 3883042; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 29 × 66949

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,059,500

Proper Divisor Sum 6,293,416

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7766071 ← → #7766107

Radix Representation

Decimal	7766084
Binary	11101101000000001000100 (23 bits)
Octal	0o35500104
Hexadecimal	0x768044

Divisor Catalog (12)

1 2 4 29 58 116 66,949 133,898 267,796 1,941,521 3,883,042 7,766,084

Collatz Trajectory (186 steps to reach 1)

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

7,766,084 3,883,042 1,941,521 5,824,564 2,912,282 1,456,141 4,368,424 2,184,212 1,092,106 546,053 1,638,160 819,080 409,540 204,770 102,385 307,156 153,578 76,789 230,368 115,184 57,592 28,796 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370

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