779,852

2² × 194963

779,852 factors as 2^2 × 194963. Its 6 positive divisors give a proper-divisor sum of 584,896, so this integer is deficient. The Collatz stopping time is 149 steps.

Prime Factor Structure

Factorization String 2^2 × 194963

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 1,364,748

Proper Divisor Sum 584,896

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #779837 ← → #779869

Radix Representation

Decimal	779852
Binary	10111110011001001100 (20 bits)
Octal	0o2763114
Hexadecimal	0xBE64C

Divisor Catalog (6)

1 2 4 194,963 389,926 779,852

Collatz Trajectory (149 steps to reach 1)

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

779,852 389,926 194,963 584,890 292,445 877,336 438,668 219,334 109,667 329,002 164,501 493,504 246,752 123,376 61,688 30,844 15,422 7,711 23,134 11,567 34,702 17,351 52,054 26,027 78,082 39,041 117,124 58,562 29,281 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826

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