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760,896

26 × 32 × 1321
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 1321
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 2,182,622
Proper Divisor Sum 1,421,726
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #760891 ← → #760897

Radix Representation

Decimal 760896
Binary 10111001110001000000 (20 bits)
Octal 0o2716100
Hexadecimal 0xB9C40

Divisor Catalog (42)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1,321 2,642 3,963 5,284 7,926 10,568 11,889 15,852 21,136 23,778 31,704 42,272 47,556 63,408 84,544 95,112 126,816 190,224 253,632 380,448 760,896

Collatz Trajectory (56 steps to reach 1)

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

760,896 380,448 190,224 95,112 47,556 23,778 11,889 35,668 17,834 8,917 26,752 13,376 6,688 3,344 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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