6,835,356

2² × 3² × 11 × 41 × 421

6,835,356 factors as 2^2 × 3^2 × 11 × 41 × 421. Its 72 positive divisors give a proper-divisor sum of 12,519,252, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 11 × 41 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 19,354,608

Proper Divisor Sum 12,519,252

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6835337 ← → #6835363

Radix Representation

Decimal	6835356
Binary	11010000100110010011100 (23 bits)
Octal	0o32046234
Hexadecimal	0x684C9C

Divisor Catalog (60 of 72)

1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 421 451 492 738 842 902 1,263 1,353 1,476 1,684 1,804 2,526 2,706 3,789 4,059 4,631 5,052 5,412 7,578 8,118 9,262 13,893 15,156 16,236 17,261 18,524 27,786 34,522 41,679 51,783 55,572 69,044 83,358 103,566 155,349 166,716

Collatz Trajectory (214 steps to reach 1)

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

6,835,356 3,417,678 1,708,839 5,126,518 2,563,259 7,689,778 3,844,889 11,534,668 5,767,334 2,883,667 8,651,002 4,325,501 12,976,504 6,488,252 3,244,126 1,622,063 4,866,190 2,433,095 7,299,286 3,649,643 10,948,930 5,474,465 16,423,396 8,211,698 4,105,849 12,317,548 6,158,774 3,079,387 9,238,162 4,619,081 13,857,244 6,928,622 3,464,311 10,392,934 5,196,467 15,589,402 7,794,701 23,384,104 11,692,052 5,846,026 2,923,013 8,769,040 4,384,520 2,192,260 1,096,130 548,065 1,644,196 822,098 411,049 1,233,148 616,574 308,287 924,862 462,431 1,387,294 693,647 2,080,942 1,040,471 3,121,414 1,560,707

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,835,355 Browse Full Index Next Integer #6,835,357 →