991,984

2⁴ × 7 × 17 × 521

For 991,984, the 40 positive divisors have a total of 2,330,208. Removing 991,984 leaves 1,338,224, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 7 × 17 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 2,330,208

Proper Divisor Sum 1,338,224

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #991981 ← → #991987

Radix Representation

Decimal	991984
Binary	11110010001011110000 (20 bits)
Octal	0o3621360
Hexadecimal	0xF22F0

Divisor Catalog (40)

1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 521 952 1,042 1,904 2,084 3,647 4,168 7,294 8,336 8,857 14,588 17,714 29,176 35,428 58,352 61,999 70,856 123,998 141,712 247,996 495,992 991,984

Collatz Trajectory (320 steps to reach 1)

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

991,984 495,992 247,996 123,998 61,999 185,998 92,999 278,998 139,499 418,498 209,249 627,748 313,874 156,937 470,812 235,406 117,703 353,110 176,555 529,666 264,833 794,500 397,250 198,625 595,876 297,938 148,969 446,908 223,454 111,727 335,182 167,591 502,774 251,387 754,162 377,081 1,131,244 565,622 282,811 848,434 424,217 1,272,652 636,326 318,163 954,490 477,245 1,431,736 715,868 357,934 178,967 536,902 268,451 805,354 402,677 1,208,032 604,016 302,008 151,004 75,502 37,751

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