5,976,729

3² × 11 × 73 × 827

5,976,729 has the prime decomposition 3^2 × 11 × 73 × 827. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 73 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,558,432

Proper Divisor Sum 3,581,703

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #5976727 ← → #5976749

Radix Representation

Decimal	5976729
Binary	10110110011001010011001 (23 bits)
Octal	0o26631231
Hexadecimal	0x5B3299

Divisor Catalog (24)

1 3 9 11 33 73 99 219 657 803 827 2,409 2,481 7,227 7,443 9,097 27,291 60,371 81,873 181,113 543,339 664,081 1,992,243 5,976,729

Collatz Trajectory (351 steps to reach 1)

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

5,976,729 17,930,188 8,965,094 4,482,547 13,447,642 6,723,821 20,171,464 10,085,732 5,042,866 2,521,433 7,564,300 3,782,150 1,891,075 5,673,226 2,836,613 8,509,840 4,254,920 2,127,460 1,063,730 531,865 1,595,596 797,798 398,899 1,196,698 598,349 1,795,048 897,524 448,762 224,381 673,144 336,572 168,286 84,143 252,430 126,215 378,646 189,323 567,970 283,985 851,956 425,978 212,989 638,968 319,484 159,742 79,871 239,614 119,807 359,422 179,711 539,134 269,567 808,702 404,351 1,213,054 606,527 1,819,582 909,791 2,729,374 1,364,687

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