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778,240

213 × 5 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^13 × 5 × 19
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 1,965,960
Proper Divisor Sum 1,187,720
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #778237 ← → #778241

Radix Representation

Decimal 778240
Binary 10111110000000000000 (20 bits)
Octal 0o2760000
Hexadecimal 0xBE000

Divisor Catalog (56)

1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1,024 1,216 1,280 1,520 2,048 2,432 2,560 3,040 4,096 4,864 5,120 6,080 8,192 9,728 10,240 12,160 19,456 20,480 24,320 38,912 40,960 48,640 77,824 97,280 155,648 194,560 389,120 778,240

Collatz Trajectory (118 steps to reach 1)

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

778,240 389,120 194,560 97,280 48,640 24,320 12,160 6,080 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850

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