9,315,405

3⁵ × 5 × 11 × 17 × 41

9,315,405 factors as 3^5 × 5 × 11 × 17 × 41. Its 96 positive divisors give a proper-divisor sum of 10,497,843, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3^5 × 5 × 11 × 17 × 41

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 19,813,248

Proper Divisor Sum 10,497,843

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9315367 ← → #9315419

Radix Representation

Decimal	9315405
Binary	100011100010010001001101 (24 bits)
Octal	0o43422115
Hexadecimal	0x8E244D

Divisor Catalog (60 of 96)

1 3 5 9 11 15 17 27 33 41 45 51 55 81 85 99 123 135 153 165 187 205 243 255 297 369 405 451 459 495 561 615 697 765 891 935 1,107 1,215 1,353 1,377 1,485 1,683 1,845 2,091 2,255 2,295 2,673 2,805 3,321 3,485 4,059 4,131 4,455 5,049 5,535 6,273 6,765 6,885 7,667 8,415

Collatz Trajectory (225 steps to reach 1)

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

9,315,405 27,946,216 13,973,108 6,986,554 3,493,277 10,479,832 5,239,916 2,619,958 1,309,979 3,929,938 1,964,969 5,894,908 2,947,454 1,473,727 4,421,182 2,210,591 6,631,774 3,315,887 9,947,662 4,973,831 14,921,494 7,460,747 22,382,242 11,191,121 33,573,364 16,786,682 8,393,341 25,180,024 12,590,012 6,295,006 3,147,503 9,442,510 4,721,255 14,163,766 7,081,883 21,245,650 10,622,825 31,868,476 15,934,238 7,967,119 23,901,358 11,950,679 35,852,038 17,926,019 53,778,058 26,889,029 80,667,088 40,333,544 20,166,772 10,083,386 5,041,693 15,125,080 7,562,540 3,781,270 1,890,635 5,671,906 2,835,953 8,507,860 4,253,930 2,126,965

← Previous Integer #9,315,404 Browse Full Index Next Integer #9,315,406 →