821,841

3 × 31 × 8837

821,841 factors as 3 × 31 × 8837. Its 8 positive divisors give a proper-divisor sum of 309,423, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3 × 31 × 8837

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,131,264

Proper Divisor Sum 309,423

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #821833 ← → #821851

Radix Representation

Decimal	821841
Binary	11001000101001010001 (20 bits)
Octal	0o3105121
Hexadecimal	0xC8A51

Divisor Catalog (8)

1 3 31 93 8,837 26,511 273,947 821,841

Collatz Trajectory (100 steps to reach 1)

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

821,841 2,465,524 1,232,762 616,381 1,849,144 924,572 462,286 231,143 693,430 346,715 1,040,146 520,073 1,560,220 780,110 390,055 1,170,166 585,083 1,755,250 877,625 2,632,876 1,316,438 658,219 1,974,658 987,329 2,961,988 1,480,994 740,497 2,221,492 1,110,746 555,373 1,666,120 833,060 416,530 208,265 624,796 312,398 156,199 468,598 234,299 702,898 351,449 1,054,348 527,174 263,587 790,762 395,381 1,186,144 593,072 296,536 148,268 74,134 37,067 111,202 55,601 166,804 83,402 41,701 125,104 62,552 31,276

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