6,378,291

3³ × 23 × 10271

Starting at 6,378,291, the Collatz iteration reaches 1 after 103 steps. The first transition is 19134874; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 23 × 10271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,861,120

Proper Divisor Sum 3,482,829

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6378287 ← → #6378311

Radix Representation

Decimal	6378291
Binary	11000010101001100110011 (23 bits)
Octal	0o30251463
Hexadecimal	0x615333

Divisor Catalog (16)

1 3 9 23 27 69 207 621 10,271 30,813 92,439 236,233 277,317 708,699 2,126,097 6,378,291

Collatz Trajectory (103 steps to reach 1)

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

6,378,291 19,134,874 9,567,437 28,702,312 14,351,156 7,175,578 3,587,789 10,763,368 5,381,684 2,690,842 1,345,421 4,036,264 2,018,132 1,009,066 504,533 1,513,600 756,800 378,400 189,200 94,600 47,300 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652 3,326 1,663 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748

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