6,384,792

2³ × 3 × 17 × 15649

6,384,792 has the prime decomposition 2^3 × 3 × 17 × 15649. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 15649

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,902,000

Proper Divisor Sum 10,517,208

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6384773 ← → #6384793

Radix Representation

Decimal	6384792
Binary	11000010110110010011000 (23 bits)
Octal	0o30266230
Hexadecimal	0x616C98

Divisor Catalog (32)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 15,649 31,298 46,947 62,596 93,894 125,192 187,788 266,033 375,576 532,066 798,099 1,064,132 1,596,198 2,128,264 3,192,396 6,384,792

Collatz Trajectory (165 steps to reach 1)

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

6,384,792 3,192,396 1,596,198 798,099 2,394,298 1,197,149 3,591,448 1,795,724 897,862 448,931 1,346,794 673,397 2,020,192 1,010,096 505,048 252,524 126,262 63,131 189,394 94,697 284,092 142,046 71,023 213,070 106,535 319,606 159,803 479,410 239,705 719,116 359,558 179,779 539,338 269,669 809,008 404,504 202,252 101,126 50,563 151,690 75,845 227,536 113,768 56,884 28,442 14,221 42,664 21,332 10,666 5,333 16,000 8,000 4,000 2,000 1,000 500 250 125 376 188

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