9,252,126

2 × 3² × 13 × 19 × 2081

9,252,126 has digital root 9. The neighboring primes are 9252079 and 9252143; its proper-divisor sum differs from the starting integer by 4,231,188.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 19 × 2081

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,735,440

Proper Divisor Sum 13,483,314

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9252079 ← → #9252143

Radix Representation

Decimal	9252126
Binary	100011010010110100011110 (24 bits)
Octal	0o43226436
Hexadecimal	0x8D2D1E

Divisor Catalog (48)

1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1,482 2,081 2,223 4,162 4,446 6,243 12,486 18,729 27,053 37,458 39,539 54,106 79,078 81,159 118,617 162,318 237,234 243,477 355,851 486,954 514,007 711,702 1,028,014 1,542,021 3,084,042 4,626,063 9,252,126

Collatz Trajectory (132 steps to reach 1)

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

9,252,126 4,626,063 13,878,190 6,939,095 20,817,286 10,408,643 31,225,930 15,612,965 46,838,896 23,419,448 11,709,724 5,854,862 2,927,431 8,782,294 4,391,147 13,173,442 6,586,721 19,760,164 9,880,082 4,940,041 14,820,124 7,410,062 3,705,031 11,115,094 5,557,547 16,672,642 8,336,321 25,008,964 12,504,482 6,252,241 18,756,724 9,378,362 4,689,181 14,067,544 7,033,772 3,516,886 1,758,443 5,275,330 2,637,665 7,912,996 3,956,498 1,978,249 5,934,748 2,967,374 1,483,687 4,451,062 2,225,531 6,676,594 3,338,297 10,014,892 5,007,446 2,503,723 7,511,170 3,755,585 11,266,756 5,633,378 2,816,689 8,450,068 4,225,034 2,112,517

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