9,018,126

2 × 3² × 13 × 17 × 2267

9,018,126 has the prime decomposition 2 × 3^2 × 13 × 17 × 2267. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 17 × 2267

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,289,904

Proper Divisor Sum 13,271,778

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9018077 ← → #9018127

Radix Representation

Decimal	9018126
Binary	100010011001101100001110 (24 bits)
Octal	0o42315416
Hexadecimal	0x899B0E

Divisor Catalog (48)

1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1,326 1,989 2,267 3,978 4,534 6,801 13,602 20,403 29,471 38,539 40,806 58,942 77,078 88,413 115,617 176,826 231,234 265,239 346,851 501,007 530,478 693,702 1,002,014 1,503,021 3,006,042 4,509,063 9,018,126

Collatz Trajectory (88 steps to reach 1)

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

9,018,126 4,509,063 13,527,190 6,763,595 20,290,786 10,145,393 30,436,180 15,218,090 7,609,045 22,827,136 11,413,568 5,706,784 2,853,392 1,426,696 713,348 356,674 178,337 535,012 267,506 133,753 401,260 200,630 100,315 300,946 150,473 451,420 225,710 112,855 338,566 169,283 507,850 253,925 761,776 380,888 190,444 95,222 47,611 142,834 71,417 214,252 107,126 53,563 160,690 80,345 241,036 120,518 60,259 180,778 90,389 271,168 135,584 67,792 33,896 16,948 8,474 4,237 12,712 6,356 3,178 1,589

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