7,425,225

3² × 5² × 61 × 541

For 7,425,225, the 36 positive divisors have a total of 13,542,412. Removing 7,425,225 leaves 6,117,187, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 61 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 13,542,412

Proper Divisor Sum 6,117,187

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7425203 ← → #7425227

Radix Representation

Decimal	7425225
Binary	11100010100110011001001 (23 bits)
Octal	0o34246311
Hexadecimal	0x714CC9

Divisor Catalog (36)

1 3 5 9 15 25 45 61 75 183 225 305 541 549 915 1,525 1,623 2,705 2,745 4,575 4,869 8,115 13,525 13,725 24,345 33,001 40,575 99,003 121,725 165,005 297,009 495,015 825,025 1,485,045 2,475,075 7,425,225

Collatz Trajectory (116 steps to reach 1)

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

7,425,225 22,275,676 11,137,838 5,568,919 16,706,758 8,353,379 25,060,138 12,530,069 37,590,208 18,795,104 9,397,552 4,698,776 2,349,388 1,174,694 587,347 1,762,042 881,021 2,643,064 1,321,532 660,766 330,383 991,150 495,575 1,486,726 743,363 2,230,090 1,115,045 3,345,136 1,672,568 836,284 418,142 209,071 627,214 313,607 940,822 470,411 1,411,234 705,617 2,116,852 1,058,426 529,213 1,587,640 793,820 396,910 198,455 595,366 297,683 893,050 446,525 1,339,576 669,788 334,894 167,447 502,342 251,171 753,514 376,757 1,130,272 565,136 282,568

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