6,709,135

5 × 17² × 4643

Starting at 6,709,135, the Collatz iteration reaches 1 after 116 steps. The first transition is 20127406; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 17^2 × 4643

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,554,248

Proper Divisor Sum 1,845,113

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6709133 ← → #6709159

Radix Representation

Decimal	6709135
Binary	11001100101111110001111 (23 bits)
Octal	0o31457617
Hexadecimal	0x665F8F

Divisor Catalog (12)

1 5 17 85 289 1,445 4,643 23,215 78,931 394,655 1,341,827 6,709,135

Collatz Trajectory (116 steps to reach 1)

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

6,709,135 20,127,406 10,063,703 30,191,110 15,095,555 45,286,666 22,643,333 67,930,000 33,965,000 16,982,500 8,491,250 4,245,625 12,736,876 6,368,438 3,184,219 9,552,658 4,776,329 14,328,988 7,164,494 3,582,247 10,746,742 5,373,371 16,120,114 8,060,057 24,180,172 12,090,086 6,045,043 18,135,130 9,067,565 27,202,696 13,601,348 6,800,674 3,400,337 10,201,012 5,100,506 2,550,253 7,650,760 3,825,380 1,912,690 956,345 2,869,036 1,434,518 717,259 2,151,778 1,075,889 3,227,668 1,613,834 806,917 2,420,752 1,210,376 605,188 302,594 151,297 453,892 226,946 113,473 340,420 170,210 85,105 255,316

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