788,748

2² × 3 × 65729

788,748 has the prime decomposition 2^2 × 3 × 65729. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 65729

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,840,440

Proper Divisor Sum 1,051,692

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #788719 ← → #788761

Radix Representation

Decimal	788748
Binary	11000000100100001100 (20 bits)
Octal	0o3004414
Hexadecimal	0xC090C

Divisor Catalog (12)

1 2 3 4 6 12 65,729 131,458 197,187 262,916 394,374 788,748

Collatz Trajectory (162 steps to reach 1)

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

788,748 394,374 197,187 591,562 295,781 887,344 443,672 221,836 110,918 55,459 166,378 83,189 249,568 124,784 62,392 31,196 15,598 7,799 23,398 11,699 35,098 17,549 52,648 26,324 13,162 6,581 19,744 9,872 4,936 2,468 1,234 617 1,852 926 463 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 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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