6,981,261

3 × 7 × 332441

Starting at 6,981,261, the Collatz iteration reaches 1 after 191 steps. The first transition is 20943784; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 332441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,638,144

Proper Divisor Sum 3,656,883

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #6981251 ← → #6981263

Radix Representation

Decimal	6981261
Binary	11010101000011010001101 (23 bits)
Octal	0o32503215
Hexadecimal	0x6A868D

Divisor Catalog (8)

1 3 7 21 332,441 997,323 2,327,087 6,981,261

Collatz Trajectory (191 steps to reach 1)

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

6,981,261 20,943,784 10,471,892 5,235,946 2,617,973 7,853,920 3,926,960 1,963,480 981,740 490,870 245,435 736,306 368,153 1,104,460 552,230 276,115 828,346 414,173 1,242,520 621,260 310,630 155,315 465,946 232,973 698,920 349,460 174,730 87,365 262,096 131,048 65,524 32,762 16,381 49,144 24,572 12,286 6,143 18,430 9,215 27,646 13,823 41,470 20,735 62,206 31,103 93,310 46,655 139,966 69,983 209,950 104,975 314,926 157,463 472,390 236,195 708,586 354,293 1,062,880 531,440 265,720

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