6,667,625

5³ × 41 × 1301

Starting at 6,667,625, the Collatz iteration reaches 1 after 209 steps. The first transition is 20002876; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 41 × 1301

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,530,704

Proper Divisor Sum 1,863,079

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #6667607 ← → #6667637

Radix Representation

Decimal	6667625
Binary	11001011011110101101001 (23 bits)
Octal	0o31336551
Hexadecimal	0x65BD69

Divisor Catalog (16)

1 5 25 41 125 205 1,025 1,301 5,125 6,505 32,525 53,341 162,625 266,705 1,333,525 6,667,625

Collatz Trajectory (209 steps to reach 1)

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

6,667,625 20,002,876 10,001,438 5,000,719 15,002,158 7,501,079 22,503,238 11,251,619 33,754,858 16,877,429 50,632,288 25,316,144 12,658,072 6,329,036 3,164,518 1,582,259 4,746,778 2,373,389 7,120,168 3,560,084 1,780,042 890,021 2,670,064 1,335,032 667,516 333,758 166,879 500,638 250,319 750,958 375,479 1,126,438 563,219 1,689,658 844,829 2,534,488 1,267,244 633,622 316,811 950,434 475,217 1,425,652 712,826 356,413 1,069,240 534,620 267,310 133,655 400,966 200,483 601,450 300,725 902,176 451,088 225,544 112,772 56,386 28,193 84,580 42,290

← Previous Integer #6,667,624 Browse Full Index Next Integer #6,667,626 →