6,521,417

7 × 487 × 1913

Starting at 6,521,417, the Collatz iteration reaches 1 after 178 steps. The first transition is 19564252; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 487 × 1913

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,472,256

Proper Divisor Sum 950,839

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6521401 ← → #6521441

Radix Representation

Decimal	6521417
Binary	11000111000001001001001 (23 bits)
Octal	0o30701111
Hexadecimal	0x638249

Divisor Catalog (8)

1 7 487 1,913 3,409 13,391 931,631 6,521,417

Collatz Trajectory (178 steps to reach 1)

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

6,521,417 19,564,252 9,782,126 4,891,063 14,673,190 7,336,595 22,009,786 11,004,893 33,014,680 16,507,340 8,253,670 4,126,835 12,380,506 6,190,253 18,570,760 9,285,380 4,642,690 2,321,345 6,964,036 3,482,018 1,741,009 5,223,028 2,611,514 1,305,757 3,917,272 1,958,636 979,318 489,659 1,468,978 734,489 2,203,468 1,101,734 550,867 1,652,602 826,301 2,478,904 1,239,452 619,726 309,863 929,590 464,795 1,394,386 697,193 2,091,580 1,045,790 522,895 1,568,686 784,343 2,353,030 1,176,515 3,529,546 1,764,773 5,294,320 2,647,160 1,323,580 661,790 330,895 992,686 496,343 1,489,030

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