7,589,604

2² × 3 × 11² × 5227

Starting at 7,589,604, the Collatz iteration reaches 1 after 129 steps. The first transition is 3794802; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11^2 × 5227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 19,469,072

Proper Divisor Sum 11,879,468

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7589597 ← → #7589611

Radix Representation

Decimal	7589604
Binary	11100111100111011100100 (23 bits)
Octal	0o34747344
Hexadecimal	0x73CEE4

Divisor Catalog (36)

1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1,452 5,227 10,454 15,681 20,908 31,362 57,497 62,724 114,994 172,491 229,988 344,982 632,467 689,964 1,264,934 1,897,401 2,529,868 3,794,802 7,589,604

Collatz Trajectory (129 steps to reach 1)

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

7,589,604 3,794,802 1,897,401 5,692,204 2,846,102 1,423,051 4,269,154 2,134,577 6,403,732 3,201,866 1,600,933 4,802,800 2,401,400 1,200,700 600,350 300,175 900,526 450,263 1,350,790 675,395 2,026,186 1,013,093 3,039,280 1,519,640 759,820 379,910 189,955 569,866 284,933 854,800 427,400 213,700 106,850 53,425 160,276 80,138 40,069 120,208 60,104 30,052 15,026 7,513 22,540 11,270 5,635 16,906 8,453 25,360 12,680 6,340 3,170 1,585 4,756 2,378 1,189 3,568 1,784 892 446 223

← Previous Integer #7,589,603 Browse Full Index Next Integer #7,589,605 →