7,444,775

5² × 13 × 22907

Starting at 7,444,775, the Collatz iteration reaches 1 after 111 steps. The first transition is 22334326; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 22907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,942,072

Proper Divisor Sum 2,497,297

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7444771 ← → #7444781

Radix Representation

Decimal	7444775
Binary	11100011001100100100111 (23 bits)
Octal	0o34314447
Hexadecimal	0x719927

Divisor Catalog (12)

1 5 13 25 65 325 22,907 114,535 297,791 572,675 1,488,955 7,444,775

Collatz Trajectory (111 steps to reach 1)

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

7,444,775 22,334,326 11,167,163 33,501,490 16,750,745 50,252,236 25,126,118 12,563,059 37,689,178 18,844,589 56,533,768 28,266,884 14,133,442 7,066,721 21,200,164 10,600,082 5,300,041 15,900,124 7,950,062 3,975,031 11,925,094 5,962,547 17,887,642 8,943,821 26,831,464 13,415,732 6,707,866 3,353,933 10,061,800 5,030,900 2,515,450 1,257,725 3,773,176 1,886,588 943,294 471,647 1,414,942 707,471 2,122,414 1,061,207 3,183,622 1,591,811 4,775,434 2,387,717 7,163,152 3,581,576 1,790,788 895,394 447,697 1,343,092 671,546 335,773 1,007,320 503,660 251,830 125,915 377,746 188,873 566,620 283,310

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