7,225,245

3² × 5 × 307 × 523

Starting at 7,225,245, the Collatz iteration reaches 1 after 90 steps. The first transition is 21675736; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 307 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,588,576

Proper Divisor Sum 5,363,331

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7225241 ← → #7225271

Radix Representation

Decimal	7225245
Binary	11011100011111110011101 (23 bits)
Octal	0o33437635
Hexadecimal	0x6E3F9D

Divisor Catalog (24)

1 3 5 9 15 45 307 523 921 1,535 1,569 2,615 2,763 4,605 4,707 7,845 13,815 23,535 160,561 481,683 802,805 1,445,049 2,408,415 7,225,245

Collatz Trajectory (90 steps to reach 1)

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

7,225,245 21,675,736 10,837,868 5,418,934 2,709,467 8,128,402 4,064,201 12,192,604 6,096,302 3,048,151 9,144,454 4,572,227 13,716,682 6,858,341 20,575,024 10,287,512 5,143,756 2,571,878 1,285,939 3,857,818 1,928,909 5,786,728 2,893,364 1,446,682 723,341 2,170,024 1,085,012 542,506 271,253 813,760 406,880 203,440 101,720 50,860 25,430 12,715 38,146 19,073 57,220 28,610 14,305 42,916 21,458 10,729 32,188 16,094 8,047 24,142 12,071 36,214 18,107 54,322 27,161 81,484 40,742 20,371 61,114 30,557 91,672 45,836

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