773,532

2² × 3² × 21487

For 773,532, the 18 positive divisors have a total of 1,955,408. Removing 773,532 leaves 1,181,876, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 21487

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,955,408

Proper Divisor Sum 1,181,876

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #773501 ← → #773533

Radix Representation

Decimal	773532
Binary	10111100110110011100 (20 bits)
Octal	0o2746634
Hexadecimal	0xBCD9C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 21,487 42,974 64,461 85,948 128,922 193,383 257,844 386,766 773,532

Collatz Trajectory (224 steps to reach 1)

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

773,532 386,766 193,383 580,150 290,075 870,226 435,113 1,305,340 652,670 326,335 979,006 489,503 1,468,510 734,255 2,202,766 1,101,383 3,304,150 1,652,075 4,956,226 2,478,113 7,434,340 3,717,170 1,858,585 5,575,756 2,787,878 1,393,939 4,181,818 2,090,909 6,272,728 3,136,364 1,568,182 784,091 2,352,274 1,176,137 3,528,412 1,764,206 882,103 2,646,310 1,323,155 3,969,466 1,984,733 5,954,200 2,977,100 1,488,550 744,275 2,232,826 1,116,413 3,349,240 1,674,620 837,310 418,655 1,255,966 627,983 1,883,950 941,975 2,825,926 1,412,963 4,238,890 2,119,445 6,358,336

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