789,276

2² × 3 × 17 × 53 × 73

For 789,276, the 48 positive divisors have a total of 2,013,984. Removing 789,276 leaves 1,224,708, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 53 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,013,984

Proper Divisor Sum 1,224,708

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #789251 ← → #789311

Radix Representation

Decimal	789276
Binary	11000000101100011100 (20 bits)
Octal	0o3005434
Hexadecimal	0xC0B1C

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 53 68 73 102 106 146 159 204 212 219 292 318 438 636 876 901 1,241 1,802 2,482 2,703 3,604 3,723 3,869 4,964 5,406 7,446 7,738 10,812 11,607 14,892 15,476 23,214 46,428 65,773 131,546 197,319 263,092 394,638 789,276

Collatz Trajectory (162 steps to reach 1)

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

789,276 394,638 197,319 591,958 295,979 887,938 443,969 1,331,908 665,954 332,977 998,932 499,466 249,733 749,200 374,600 187,300 93,650 46,825 140,476 70,238 35,119 105,358 52,679 158,038 79,019 237,058 118,529 355,588 177,794 88,897 266,692 133,346 66,673 200,020 100,010 50,005 150,016 75,008 37,504 18,752 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142

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