7,524,804

2² × 3 × 7 × 29 × 3089

7,524,804 factors as 2^2 × 3 × 7 × 29 × 3089. Its 48 positive divisors give a proper-divisor sum of 13,239,996, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 29 × 3089

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,764,800

Proper Divisor Sum 13,239,996

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7524799 ← → #7524851

Radix Representation

Decimal	7524804
Binary	11100101101000111000100 (23 bits)
Octal	0o34550704
Hexadecimal	0x72D1C4

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1,218 2,436 3,089 6,178 9,267 12,356 18,534 21,623 37,068 43,246 64,869 86,492 89,581 129,738 179,162 259,476 268,743 358,324 537,486 627,067 1,074,972 1,254,134 1,881,201 2,508,268 3,762,402 7,524,804

Collatz Trajectory (142 steps to reach 1)

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

7,524,804 3,762,402 1,881,201 5,643,604 2,821,802 1,410,901 4,232,704 2,116,352 1,058,176 529,088 264,544 132,272 66,136 33,068 16,534 8,267 24,802 12,401 37,204 18,602 9,301 27,904 13,952 6,976 3,488 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233

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