7,988,475

3 × 5² × 11 × 23 × 421

7,988,475 is odd and not a perfect square. Its factorization is 3 × 5^2 × 11 × 23 × 421 and its 48 divisors sum to 15,070,464.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 23 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 15,070,464

Proper Divisor Sum 7,081,989

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7988473 ← → #7988479

Radix Representation

Decimal	7988475
Binary	11110011110010011111011 (23 bits)
Octal	0o36362373
Hexadecimal	0x79E4FB

Divisor Catalog (48)

1 3 5 11 15 23 25 33 55 69 75 115 165 253 275 345 421 575 759 825 1,263 1,265 1,725 2,105 3,795 4,631 6,315 6,325 9,683 10,525 13,893 18,975 23,155 29,049 31,575 48,415 69,465 106,513 115,775 145,245 242,075 319,539 347,325 532,565 726,225 1,597,695 2,662,825 7,988,475

Collatz Trajectory (199 steps to reach 1)

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

7,988,475 23,965,426 11,982,713 35,948,140 17,974,070 8,987,035 26,961,106 13,480,553 40,441,660 20,220,830 10,110,415 30,331,246 15,165,623 45,496,870 22,748,435 68,245,306 34,122,653 102,367,960 51,183,980 25,591,990 12,795,995 38,387,986 19,193,993 57,581,980 28,790,990 14,395,495 43,186,486 21,593,243 64,779,730 32,389,865 97,169,596 48,584,798 24,292,399 72,877,198 36,438,599 109,315,798 54,657,899 163,973,698 81,986,849 245,960,548 122,980,274 61,490,137 184,470,412 92,235,206 46,117,603 138,352,810 69,176,405 207,529,216 103,764,608 51,882,304 25,941,152 12,970,576 6,485,288 3,242,644 1,621,322 810,661 2,431,984 1,215,992 607,996 303,998

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