9,052,050

2 × 3 × 5² × 7 × 37 × 233

9,052,050 has digital root 3. The neighboring primes are 9052049 and 9052051; its proper-divisor sum differs from the starting integer by 8,358,492.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 37 × 233

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 26,462,592

Proper Divisor Sum 17,410,542

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #9052049 ← → #9052051

Radix Representation

Decimal	9052050
Binary	100010100001111110010010 (24 bits)
Octal	0o42417622
Hexadecimal	0x8A1F92

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 14 15 21 25 30 35 37 42 50 70 74 75 105 111 150 175 185 210 222 233 259 350 370 466 518 525 555 699 777 925 1,050 1,110 1,165 1,295 1,398 1,554 1,631 1,850 2,330 2,590 2,775 3,262 3,495 3,885 4,893 5,550 5,825 6,475 6,990 7,770 8,155 8,621 9,786

Collatz Trajectory (181 steps to reach 1)

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

9,052,050 4,526,025 13,578,076 6,789,038 3,394,519 10,183,558 5,091,779 15,275,338 7,637,669 22,913,008 11,456,504 5,728,252 2,864,126 1,432,063 4,296,190 2,148,095 6,444,286 3,222,143 9,666,430 4,833,215 14,499,646 7,249,823 21,749,470 10,874,735 32,624,206 16,312,103 48,936,310 24,468,155 73,404,466 36,702,233 110,106,700 55,053,350 27,526,675 82,580,026 41,290,013 123,870,040 61,935,020 30,967,510 15,483,755 46,451,266 23,225,633 69,676,900 34,838,450 17,419,225 52,257,676 26,128,838 13,064,419 39,193,258 19,596,629 58,789,888 29,394,944 14,697,472 7,348,736 3,674,368 1,837,184 918,592 459,296 229,648 114,824 57,412

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