λ
Prime Ledger

9,417,330

2 × 33 × 5 × 13 × 2683
Abundant Even Composite

9,417,330 has the prime decomposition 2 × 3^3 × 5 × 13 × 2683. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 13 × 2683
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 27,054,720
Proper Divisor Sum 17,637,390
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9417329 ← → #9417347

Radix Representation

Decimal 9417330
Binary 100011111011001001110010 (24 bits)
Octal 0o43731162
Hexadecimal 0x8FB272

Divisor Catalog (60 of 64)

1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1,170 1,755 2,683 3,510 5,366 8,049 13,415 16,098 24,147 26,830 34,879 40,245 48,294 69,758 72,441 80,490 104,637 120,735 144,882 174,395 209,274 241,470 313,911 348,790 362,205 523,185 627,822 724,410 941,733 1,046,370 1,569,555

Collatz Trajectory (137 steps to reach 1)

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

9,417,330 4,708,665 14,125,996 7,062,998 3,531,499 10,594,498 5,297,249 15,891,748 7,945,874 3,972,937 11,918,812 5,959,406 2,979,703 8,939,110 4,469,555 13,408,666 6,704,333 20,113,000 10,056,500 5,028,250 2,514,125 7,542,376 3,771,188 1,885,594 942,797 2,828,392 1,414,196 707,098 353,549 1,060,648 530,324 265,162 132,581 397,744 198,872 99,436 49,718 24,859 74,578 37,289 111,868 55,934 27,967 83,902 41,951 125,854 62,927 188,782 94,391 283,174 141,587 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396

More profiles

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