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Atlas › Integer Profiles › Node 9,108,315

9,108,315

33 × 5 × 19 × 53 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 19 × 53 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 17,625,600
Proper Divisor Sum 8,517,285
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9108293 ← → #9108331

Radix Representation

Decimal 9108315
Binary 100010101111101101011011 (24 bits)
Octal 0o42575533
Hexadecimal 0x8AFB5B

Divisor Catalog (60 of 64)

1 3 5 9 15 19 27 45 53 57 67 95 135 159 171 201 265 285 335 477 513 603 795 855 1,005 1,007 1,273 1,431 1,809 2,385 2,565 3,015 3,021 3,551 3,819 5,035 6,365 7,155 9,045 9,063 10,653 11,457 15,105 17,755 19,095 27,189 31,959 34,371 45,315 53,265 57,285 67,469 95,877 135,945 159,795 171,855 202,407 337,345 479,385 607,221

Collatz Trajectory (163 steps to reach 1)

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

9,108,315 27,324,946 13,662,473 40,987,420 20,493,710 10,246,855 30,740,566 15,370,283 46,110,850 23,055,425 69,166,276 34,583,138 17,291,569 51,874,708 25,937,354 12,968,677 38,906,032 19,453,016 9,726,508 4,863,254 2,431,627 7,294,882 3,647,441 10,942,324 5,471,162 2,735,581 8,206,744 4,103,372 2,051,686 1,025,843 3,077,530 1,538,765 4,616,296 2,308,148 1,154,074 577,037 1,731,112 865,556 432,778 216,389 649,168 324,584 162,292 81,146 40,573 121,720 60,860 30,430 15,215 45,646 22,823 68,470 34,235 102,706 51,353 154,060 77,030 38,515 115,546 57,773

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