9,315,090

2 × 3² × 5 × 29 × 43 × 83

9,315,090 has the prime decomposition 2 × 3^2 × 5 × 29 × 43 × 83. Its 6 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 29 × 43 × 83

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 25,945,920

Proper Divisor Sum 16,630,830

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9315079 ← → #9315101

Radix Representation

Decimal	9315090
Binary	100011100010001100010010 (24 bits)
Octal	0o43421422
Hexadecimal	0x8E2312

Divisor Catalog (60 of 96)

1 2 3 5 6 9 10 15 18 29 30 43 45 58 83 86 87 90 129 145 166 174 215 249 258 261 290 387 415 430 435 498 522 645 747 774 830 870 1,245 1,247 1,290 1,305 1,494 1,935 2,407 2,490 2,494 2,610 3,569 3,735 3,741 3,870 4,814 6,235 7,138 7,221 7,470 7,482 10,707 11,223

Collatz Trajectory (132 steps to reach 1)

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

9,315,090 4,657,545 13,972,636 6,986,318 3,493,159 10,479,478 5,239,739 15,719,218 7,859,609 23,578,828 11,789,414 5,894,707 17,684,122 8,842,061 26,526,184 13,263,092 6,631,546 3,315,773 9,947,320 4,973,660 2,486,830 1,243,415 3,730,246 1,865,123 5,595,370 2,797,685 8,393,056 4,196,528 2,098,264 1,049,132 524,566 262,283 786,850 393,425 1,180,276 590,138 295,069 885,208 442,604 221,302 110,651 331,954 165,977 497,932 248,966 124,483 373,450 186,725 560,176 280,088 140,044 70,022 35,011 105,034 52,517 157,552 78,776 39,388 19,694 9,847

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