798,930

2 × 3³ × 5 × 11 × 269

798,930 factors as 2 × 3^3 × 5 × 11 × 269. Its 64 positive divisors give a proper-divisor sum of 1,533,870, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 11 × 269

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,332,800

Proper Divisor Sum 1,533,870

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #798929 ← → #798937

Radix Representation

Decimal	798930
Binary	11000011000011010010 (20 bits)
Octal	0o3030322
Hexadecimal	0xC30D2

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 269 270 297 330 495 538 594 807 990 1,345 1,485 1,614 2,421 2,690 2,959 2,970 4,035 4,842 5,918 7,263 8,070 8,877 12,105 14,526 14,795 17,754 24,210 26,631 29,590 36,315 44,385 53,262 72,630 79,893 88,770 133,155

Collatz Trajectory (118 steps to reach 1)

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

798,930 399,465 1,198,396 599,198 299,599 898,798 449,399 1,348,198 674,099 2,022,298 1,011,149 3,033,448 1,516,724 758,362 379,181 1,137,544 568,772 284,386 142,193 426,580 213,290 106,645 319,936 159,968 79,984 39,992 19,996 9,998 4,999 14,998 7,499 22,498 11,249 33,748 16,874 8,437 25,312 12,656 6,328 3,164 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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