766,928

2⁴ × 47933

For 766,928, the 10 positive divisors have a total of 1,485,954. Removing 766,928 leaves 719,026, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^4 × 47933

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 1,485,954

Proper Divisor Sum 719,026

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #766907 ← → #766937

Radix Representation

Decimal	766928
Binary	10111011001111010000 (20 bits)
Octal	0o2731720
Hexadecimal	0xBB3D0

Divisor Catalog (10)

1 2 4 8 16 47,933 95,866 191,732 383,464 766,928

Collatz Trajectory (100 steps to reach 1)

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

766,928 383,464 191,732 95,866 47,933 143,800 71,900 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167 45,502 22,751 68,254 34,127 102,382 51,191 153,574 76,787 230,362 115,181 345,544 172,772 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812

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