7,598,775

3 × 5² × 71 × 1427

7,598,775 factors as 3 × 5^2 × 71 × 1427. Its 24 positive divisors give a proper-divisor sum of 5,150,409, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 71 × 1427

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,749,184

Proper Divisor Sum 5,150,409

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7598771 ← → #7598797

Radix Representation

Decimal	7598775
Binary	11100111111001010110111 (23 bits)
Octal	0o34771267
Hexadecimal	0x73F2B7

Divisor Catalog (24)

1 3 5 15 25 71 75 213 355 1,065 1,427 1,775 4,281 5,325 7,135 21,405 35,675 101,317 107,025 303,951 506,585 1,519,755 2,532,925 7,598,775

Collatz Trajectory (80 steps to reach 1)

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

7,598,775 22,796,326 11,398,163 34,194,490 17,097,245 51,291,736 25,645,868 12,822,934 6,411,467 19,234,402 9,617,201 28,851,604 14,425,802 7,212,901 21,638,704 10,819,352 5,409,676 2,704,838 1,352,419 4,057,258 2,028,629 6,085,888 3,042,944 1,521,472 760,736 380,368 190,184 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224

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