6,428,295

3³ × 5 × 17 × 2801

6,428,295 factors as 3^3 × 5 × 17 × 2801. Its 32 positive divisors give a proper-divisor sum of 5,676,345, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 17 × 2801

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,104,640

Proper Divisor Sum 5,676,345

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6428291 ← → #6428311

Radix Representation

Decimal	6428295
Binary	11000100001011010000111 (23 bits)
Octal	0o30413207
Hexadecimal	0x621687

Divisor Catalog (32)

1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2,295 2,801 8,403 14,005 25,209 42,015 47,617 75,627 126,045 142,851 238,085 378,135 428,553 714,255 1,285,659 2,142,765 6,428,295

Collatz Trajectory (95 steps to reach 1)

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

6,428,295 19,284,886 9,642,443 28,927,330 14,463,665 43,390,996 21,695,498 10,847,749 32,543,248 16,271,624 8,135,812 4,067,906 2,033,953 6,101,860 3,050,930 1,525,465 4,576,396 2,288,198 1,144,099 3,432,298 1,716,149 5,148,448 2,574,224 1,287,112 643,556 321,778 160,889 482,668 241,334 120,667 362,002 181,001 543,004 271,502 135,751 407,254 203,627 610,882 305,441 916,324 458,162 229,081 687,244 343,622 171,811 515,434 257,717 773,152 386,576 193,288 96,644 48,322 24,161 72,484 36,242 18,121 54,364 27,182 13,591 40,774

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