6,972,291

3³ × 258233

6,972,291 factors as 3^3 × 258233. Its 8 positive divisors give a proper-divisor sum of 3,357,069, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3^3 × 258233

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,329,360

Proper Divisor Sum 3,357,069

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6972281 ← → #6972293

Radix Representation

Decimal	6972291
Binary	11010100110001110000011 (23 bits)
Octal	0o32461603
Hexadecimal	0x6A6383

Divisor Catalog (8)

1 3 9 27 258,233 774,699 2,324,097 6,972,291

Collatz Trajectory (191 steps to reach 1)

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

6,972,291 20,916,874 10,458,437 31,375,312 15,687,656 7,843,828 3,921,914 1,960,957 5,882,872 2,941,436 1,470,718 735,359 2,206,078 1,103,039 3,309,118 1,654,559 4,963,678 2,481,839 7,445,518 3,722,759 11,168,278 5,584,139 16,752,418 8,376,209 25,128,628 12,564,314 6,282,157 18,846,472 9,423,236 4,711,618 2,355,809 7,067,428 3,533,714 1,766,857 5,300,572 2,650,286 1,325,143 3,975,430 1,987,715 5,963,146 2,981,573 8,944,720 4,472,360 2,236,180 1,118,090 559,045 1,677,136 838,568 419,284 209,642 104,821 314,464 157,232 78,616 39,308 19,654 9,827 29,482 14,741 44,224

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