7,776,085

5 × 463 × 3359

Starting at 7,776,085, the Collatz iteration reaches 1 after 217 steps. The first transition is 23328256; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 463 × 3359

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,354,240

Proper Divisor Sum 1,578,155

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7776079 ← → #7776127

Radix Representation

Decimal	7776085
Binary	11101101010011101010101 (23 bits)
Octal	0o35523525
Hexadecimal	0x76A755

Divisor Catalog (8)

1 5 463 2,315 3,359 16,795 1,555,217 7,776,085

Collatz Trajectory (217 steps to reach 1)

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

7,776,085 23,328,256 11,664,128 5,832,064 2,916,032 1,458,016 729,008 364,504 182,252 91,126 45,563 136,690 68,345 205,036 102,518 51,259 153,778 76,889 230,668 115,334 57,667 173,002 86,501 259,504 129,752 64,876 32,438 16,219 48,658 24,329 72,988 36,494 18,247 54,742 27,371 82,114 41,057 123,172 61,586 30,793 92,380 46,190 23,095 69,286 34,643 103,930 51,965 155,896 77,948 38,974 19,487 58,462 29,231 87,694 43,847 131,542 65,771 197,314 98,657 295,972

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