789,656

2³ × 7 × 59 × 239

789,656 is even and not a perfect square. Its factorization is 2^3 × 7 × 59 × 239 and its 32 divisors sum to 1,728,000.

Prime Factor Structure

Factorization String 2^3 × 7 × 59 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,728,000

Proper Divisor Sum 938,344

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #789653 ← → #789671

Radix Representation

Decimal	789656
Binary	11000000110010011000 (20 bits)
Octal	0o3006230
Hexadecimal	0xC0C98

Divisor Catalog (32)

1 2 4 7 8 14 28 56 59 118 236 239 413 472 478 826 956 1,652 1,673 1,912 3,304 3,346 6,692 13,384 14,101 28,202 56,404 98,707 112,808 197,414 394,828 789,656

Collatz Trajectory (43 steps to reach 1)

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

789,656 394,828 197,414 98,707 296,122 148,061 444,184 222,092 111,046 55,523 166,570 83,285 249,856 124,928 62,464 31,232 15,616 7,808 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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