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77,454

2 × 32 × 13 × 331
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 331
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 181,272
Proper Divisor Sum 103,818
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #77447 ← → #77471

Radix Representation

Decimal 77454
Binary 10010111010001110 (17 bits)
Octal 0o227216
Hexadecimal 0x12E8E

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 331 662 993 1,986 2,979 4,303 5,958 8,606 12,909 25,818 38,727 77,454

Collatz Trajectory (76 steps to reach 1)

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

77,454 38,727 116,182 58,091 174,274 87,137 261,412 130,706 65,353 196,060 98,030 49,015 147,046 73,523 220,570 110,285 330,856 165,428 82,714 41,357 124,072 62,036 31,018 15,509 46,528 23,264 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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