6,291,215

5 × 7 × 179749

Starting at 6,291,215, the Collatz iteration reaches 1 after 77 steps. The first transition is 18873646; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 179749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,628,000

Proper Divisor Sum 2,336,785

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #6291211 ← → #6291217

Radix Representation

Decimal	6291215
Binary	10111111111111100001111 (23 bits)
Octal	0o27777417
Hexadecimal	0x5FFF0F

Divisor Catalog (8)

1 5 7 35 179,749 898,745 1,258,243 6,291,215

Collatz Trajectory (77 steps to reach 1)

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

6,291,215 18,873,646 9,436,823 28,310,470 14,155,235 42,465,706 21,232,853 63,698,560 31,849,280 15,924,640 7,962,320 3,981,160 1,990,580 995,290 497,645 1,492,936 746,468 373,234 186,617 559,852 279,926 139,963 419,890 209,945 629,836 314,918 157,459 472,378 236,189 708,568 354,284 177,142 88,571 265,714 132,857 398,572 199,286 99,643 298,930 149,465 448,396 224,198 112,099 336,298 168,149 504,448 252,224 126,112 63,056 31,528 15,764 7,882 3,941 11,824 5,912 2,956 1,478 739 2,218 1,109

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