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Atlas › Integer Profiles › Node 3,552,273

3,552,273

32 × 43 × 67 × 137
Deficient Odd Composite

3,552,273 factors as 3^2 × 43 × 67 × 137. Its 24 positive divisors give a proper-divisor sum of 1,815,375, so this integer is deficient. The Collatz stopping time is 283 steps.

Prime Factor Structure

Factorization String 3^2 × 43 × 67 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,367,648
Proper Divisor Sum 1,815,375
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3552251 ← → #3552277

Radix Representation

Decimal 3552273
Binary 1101100011010000010001 (22 bits)
Octal 0o15432021
Hexadecimal 0x363411

Divisor Catalog (24)

1 3 9 43 67 129 137 201 387 411 603 1,233 2,881 5,891 8,643 9,179 17,673 25,929 27,537 53,019 82,611 394,697 1,184,091 3,552,273

Collatz Trajectory (283 steps to reach 1)

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

3,552,273 10,656,820 5,328,410 2,664,205 7,992,616 3,996,308 1,998,154 999,077 2,997,232 1,498,616 749,308 374,654 187,327 561,982 280,991 842,974 421,487 1,264,462 632,231 1,896,694 948,347 2,845,042 1,422,521 4,267,564 2,133,782 1,066,891 3,200,674 1,600,337 4,801,012 2,400,506 1,200,253 3,600,760 1,800,380 900,190 450,095 1,350,286 675,143 2,025,430 1,012,715 3,038,146 1,519,073 4,557,220 2,278,610 1,139,305 3,417,916 1,708,958 854,479 2,563,438 1,281,719 3,845,158 1,922,579 5,767,738 2,883,869 8,651,608 4,325,804 2,162,902 1,081,451 3,244,354 1,622,177 4,866,532

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