789,348

2² × 3 × 7 × 9397

789,348 has the prime decomposition 2^2 × 3 × 7 × 9397. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 9397

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,105,152

Proper Divisor Sum 1,315,804

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #789343 ← → #789367

Radix Representation

Decimal	789348
Binary	11000000101101100100 (20 bits)
Octal	0o3005544
Hexadecimal	0xC0B64

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 9,397 18,794 28,191 37,588 56,382 65,779 112,764 131,558 197,337 263,116 394,674 789,348

Collatz Trajectory (193 steps to reach 1)

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

789,348 394,674 197,337 592,012 296,006 148,003 444,010 222,005 666,016 333,008 166,504 83,252 41,626 20,813 62,440 31,220 15,610 7,805 23,416 11,708 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012

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