7,474,749

3 × 53² × 887

7,474,749 is odd and not a perfect square. Its factorization is 3 × 53^2 × 887 and its 12 divisors sum to 10,169,376.

Prime Factor Structure

Factorization String 3 × 53^2 × 887

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,169,376

Proper Divisor Sum 2,694,627

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7474717 ← → #7474759

Radix Representation

Decimal	7474749
Binary	11100100000111000111101 (23 bits)
Octal	0o34407075
Hexadecimal	0x720E3D

Divisor Catalog (12)

1 3 53 159 887 2,661 2,809 8,427 47,011 141,033 2,491,583 7,474,749

Collatz Trajectory (173 steps to reach 1)

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

7,474,749 22,424,248 11,212,124 5,606,062 2,803,031 8,409,094 4,204,547 12,613,642 6,306,821 18,920,464 9,460,232 4,730,116 2,365,058 1,182,529 3,547,588 1,773,794 886,897 2,660,692 1,330,346 665,173 1,995,520 997,760 498,880 249,440 124,720 62,360 31,180 15,590 7,795 23,386 11,693 35,080 17,540 8,770 4,385 13,156 6,578 3,289 9,868 4,934 2,467 7,402 3,701 11,104 5,552 2,776 1,388 694 347 1,042 521 1,564 782 391 1,174 587 1,762 881 2,644 1,322

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