λ
Harmonic Matrix

9,356,424

23 × 3 × 7 × 11 × 61 × 83
Abundant Even Composite

9,356,424 has digital root 6. The neighboring primes are 9356419 and 9356429; its proper-divisor sum differs from the starting integer by 11,285,232.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 61 × 83
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 29,998,080
Proper Divisor Sum 20,641,656
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9356419 ← → #9356429

Radix Representation

Decimal 9356424
Binary 100011101100010010001000 (24 bits)
Octal 0o43542210
Hexadecimal 0x8EC488

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 61 66 77 83 84 88 122 132 154 166 168 183 231 244 249 264 308 332 366 427 462 488 498 581 616 664 671 732 854 913 924 996 1,162 1,281 1,342 1,464 1,708 1,743 1,826 1,848 1,992 2,013

Collatz Trajectory (163 steps to reach 1)

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

9,356,424 4,678,212 2,339,106 1,169,553 3,508,660 1,754,330 877,165 2,631,496 1,315,748 657,874 328,937 986,812 493,406 246,703 740,110 370,055 1,110,166 555,083 1,665,250 832,625 2,497,876 1,248,938 624,469 1,873,408 936,704 468,352 234,176 117,088 58,544 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47

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