799,984

2⁴ × 49999

799,984 factors as 2^4 × 49999. Its 10 positive divisors give a proper-divisor sum of 750,016, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 49999

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,550,000

Proper Divisor Sum 750,016

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #799979 ← → #799991

Radix Representation

Decimal	799984
Binary	11000011010011110000 (20 bits)
Octal	0o3032360
Hexadecimal	0xC34F0

Divisor Catalog (10)

1 2 4 8 16 49,999 99,998 199,996 399,992 799,984

Collatz Trajectory (92 steps to reach 1)

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

799,984 399,992 199,996 99,998 49,999 149,998 74,999 224,998 112,499 337,498 168,749 506,248 253,124 126,562 63,281 189,844 94,922 47,461 142,384 71,192 35,596 17,798 8,899 26,698 13,349 40,048 20,024 10,012 5,006 2,503 7,510 3,755 11,266 5,633 16,900 8,450 4,225 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847

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