779,104

2⁵ × 97 × 251

779,104 factors as 2^5 × 97 × 251. Its 24 positive divisors give a proper-divisor sum of 776,744, so this integer is deficient. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2^5 × 97 × 251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,555,848

Proper Divisor Sum 776,744

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #779101 ← → #779111

Radix Representation

Decimal	779104
Binary	10111110001101100000 (20 bits)
Octal	0o2761540
Hexadecimal	0xBE360

Divisor Catalog (24)

Collatz Trajectory (193 steps to reach 1)

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

779,104 389,552 194,776 97,388 48,694 24,347 73,042 36,521 109,564 54,782 27,391 82,174 41,087 123,262 61,631 184,894 92,447 277,342 138,671 416,014 208,007 624,022 312,011 936,034 468,017 1,404,052 702,026 351,013 1,053,040 526,520 263,260 131,630 65,815 197,446 98,723 296,170 148,085 444,256 222,128 111,064 55,532 27,766 13,883 41,650 20,825 62,476 31,238 15,619 46,858 23,429 70,288 35,144 17,572 8,786 4,393 13,180 6,590 3,295 9,886 4,943

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