788,406

2 × 3 × 101 × 1301

788,406 is even and not a perfect square. Its factorization is 2 × 3 × 101 × 1301 and its 16 divisors sum to 1,593,648.

Prime Factor Structure

Factorization String 2 × 3 × 101 × 1301

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,593,648

Proper Divisor Sum 805,242

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #788399 ← → #788413

Radix Representation

Decimal	788406
Binary	11000000011110110110 (20 bits)
Octal	0o3003666
Hexadecimal	0xC07B6

Divisor Catalog (16)

1 2 3 6 101 202 303 606 1,301 2,602 3,903 7,806 131,401 262,802 394,203 788,406

Collatz Trajectory (162 steps to reach 1)

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

788,406 394,203 1,182,610 591,305 1,773,916 886,958 443,479 1,330,438 665,219 1,995,658 997,829 2,993,488 1,496,744 748,372 374,186 187,093 561,280 280,640 140,320 70,160 35,080 17,540 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94 47 142

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