4,033,449

3³ × 7 × 21341

4,033,449 factors as 3^3 × 7 × 21341. Its 16 positive divisors give a proper-divisor sum of 2,795,991, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 21341

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,829,440

Proper Divisor Sum 2,795,991

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4033423 ← → #4033451

Radix Representation

Decimal	4033449
Binary	1111011000101110101001 (22 bits)
Octal	0o17305651
Hexadecimal	0x3D8BA9

Divisor Catalog (16)

1 3 7 9 21 27 63 189 21,341 64,023 149,387 192,069 448,161 576,207 1,344,483 4,033,449

Collatz Trajectory (229 steps to reach 1)

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

4,033,449 12,100,348 6,050,174 3,025,087 9,075,262 4,537,631 13,612,894 6,806,447 20,419,342 10,209,671 30,629,014 15,314,507 45,943,522 22,971,761 68,915,284 34,457,642 17,228,821 51,686,464 25,843,232 12,921,616 6,460,808 3,230,404 1,615,202 807,601 2,422,804 1,211,402 605,701 1,817,104 908,552 454,276 227,138 113,569 340,708 170,354 85,177 255,532 127,766 63,883 191,650 95,825 287,476 143,738 71,869 215,608 107,804 53,902 26,951 80,854 40,427 121,282 60,641 181,924 90,962 45,481 136,444 68,222 34,111 102,334 51,167 153,502

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