3,322,293

3 × 13 × 17 × 5011

3,322,293 factors as 3 × 13 × 17 × 5011. Its 16 positive divisors give a proper-divisor sum of 1,729,803, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3 × 13 × 17 × 5011

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,052,096

Proper Divisor Sum 1,729,803

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3322279 ← → #3322337

Radix Representation

Decimal	3322293
Binary	1100101011000110110101 (22 bits)
Octal	0o14530665
Hexadecimal	0x32B1B5

Divisor Catalog (16)

1 3 13 17 39 51 221 663 5,011 15,033 65,143 85,187 195,429 255,561 1,107,431 3,322,293

Collatz Trajectory (138 steps to reach 1)

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

3,322,293 9,966,880 4,983,440 2,491,720 1,245,860 622,930 311,465 934,396 467,198 233,599 700,798 350,399 1,051,198 525,599 1,576,798 788,399 2,365,198 1,182,599 3,547,798 1,773,899 5,321,698 2,660,849 7,982,548 3,991,274 1,995,637 5,986,912 2,993,456 1,496,728 748,364 374,182 187,091 561,274 280,637 841,912 420,956 210,478 105,239 315,718 157,859 473,578 236,789 710,368 355,184 177,592 88,796 44,398 22,199 66,598 33,299 99,898 49,949 149,848 74,924 37,462 18,731 56,194 28,097 84,292 42,146 21,073

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