6,585,005

5 × 7 × 188143

Starting at 6,585,005, the Collatz iteration reaches 1 after 90 steps. The first transition is 19755016; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 188143

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,030,912

Proper Divisor Sum 2,445,907

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6584999 ← → #6585013

Radix Representation

Decimal	6585005
Binary	11001000111101010101101 (23 bits)
Octal	0o31075255
Hexadecimal	0x647AAD

Divisor Catalog (8)

1 5 7 35 188,143 940,715 1,317,001 6,585,005

Collatz Trajectory (90 steps to reach 1)

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

6,585,005 19,755,016 9,877,508 4,938,754 2,469,377 7,408,132 3,704,066 1,852,033 5,556,100 2,778,050 1,389,025 4,167,076 2,083,538 1,041,769 3,125,308 1,562,654 781,327 2,343,982 1,171,991 3,515,974 1,757,987 5,273,962 2,636,981 7,910,944 3,955,472 1,977,736 988,868 494,434 247,217 741,652 370,826 185,413 556,240 278,120 139,060 69,530 34,765 104,296 52,148 26,074 13,037 39,112 19,556 9,778 4,889 14,668 7,334 3,667 11,002 5,501 16,504 8,252 4,126 2,063 6,190 3,095 9,286 4,643 13,930 6,965

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