7,507,241

7³ × 43 × 509

7,507,241 is odd and not a perfect square. Its factorization is 7^3 × 43 × 509 and its 16 divisors sum to 8,976,000.

Prime Factor Structure

Factorization String 7^3 × 43 × 509

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,976,000

Proper Divisor Sum 1,468,759

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7507231 ← → #7507271

Radix Representation

Decimal	7507241
Binary	11100101000110100101001 (23 bits)
Octal	0o34506451
Hexadecimal	0x728D29

Divisor Catalog (16)

1 7 43 49 301 343 509 2,107 3,563 14,749 21,887 24,941 153,209 174,587 1,072,463 7,507,241

Collatz Trajectory (292 steps to reach 1)

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

7,507,241 22,521,724 11,260,862 5,630,431 16,891,294 8,445,647 25,336,942 12,668,471 38,005,414 19,002,707 57,008,122 28,504,061 85,512,184 42,756,092 21,378,046 10,689,023 32,067,070 16,033,535 48,100,606 24,050,303 72,150,910 36,075,455 108,226,366 54,113,183 162,339,550 81,169,775 243,509,326 121,754,663 365,263,990 182,631,995 547,895,986 273,947,993 821,843,980 410,921,990 205,460,995 616,382,986 308,191,493 924,574,480 462,287,240 231,143,620 115,571,810 57,785,905 173,357,716 86,678,858 43,339,429 130,018,288 65,009,144 32,504,572 16,252,286 8,126,143 24,378,430 12,189,215 36,567,646 18,283,823 54,851,470 27,425,735 82,277,206 41,138,603 123,415,810 61,707,905

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