4,007,589

3 × 23 × 241²

4,007,589 factors as 3 × 23 × 241^2. Its 12 positive divisors give a proper-divisor sum of 1,591,419, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 3 × 23 × 241^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,599,008

Proper Divisor Sum 1,591,419

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #4007573 ← → #4007593

Radix Representation

Decimal	4007589
Binary	1111010010011010100101 (22 bits)
Octal	0o17223245
Hexadecimal	0x3D26A5

Divisor Catalog (12)

1 3 23 69 241 723 5,543 16,629 58,081 174,243 1,335,863 4,007,589

Collatz Trajectory (92 steps to reach 1)

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

4,007,589 12,022,768 6,011,384 3,005,692 1,502,846 751,423 2,254,270 1,127,135 3,381,406 1,690,703 5,072,110 2,536,055 7,608,166 3,804,083 11,412,250 5,706,125 17,118,376 8,559,188 4,279,594 2,139,797 6,419,392 3,209,696 1,604,848 802,424 401,212 200,606 100,303 300,910 150,455 451,366 225,683 677,050 338,525 1,015,576 507,788 253,894 126,947 380,842 190,421 571,264 285,632 142,816 71,408 35,704 17,852 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424

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