7,704,417

3 × 7² × 17 × 3083

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 3083

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,656,736

Proper Divisor Sum 4,952,319

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7704409 ← → #7704421

Radix Representation

Decimal	7704417
Binary	11101011000111101100001 (23 bits)
Octal	0o35307541
Hexadecimal	0x758F61

Divisor Catalog (24)

Collatz Trajectory (248 steps to reach 1)

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

7,704,417 23,113,252 11,556,626 5,778,313 17,334,940 8,667,470 4,333,735 13,001,206 6,500,603 19,501,810 9,750,905 29,252,716 14,626,358 7,313,179 21,939,538 10,969,769 32,909,308 16,454,654 8,227,327 24,681,982 12,340,991 37,022,974 18,511,487 55,534,462 27,767,231 83,301,694 41,650,847 124,952,542 62,476,271 187,428,814 93,714,407 281,143,222 140,571,611 421,714,834 210,857,417 632,572,252 316,286,126 158,143,063 474,429,190 237,214,595 711,643,786 355,821,893 1,067,465,680 533,732,840 266,866,420 133,433,210 66,716,605 200,149,816 100,074,908 50,037,454 25,018,727 75,056,182 37,528,091 112,584,274 56,292,137 168,876,412 84,438,206 42,219,103 126,657,310 63,328,655

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