1,028,511

3³ × 11 × 3463

1,028,511 factors as 3^3 × 11 × 3463. Its 16 positive divisors give a proper-divisor sum of 634,209, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 3463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,662,720

Proper Divisor Sum 634,209

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1028509 ← → #1028557

Radix Representation

Decimal	1028511
Binary	11111011000110011111 (20 bits)
Octal	0o3730637
Hexadecimal	0xFB19F

Divisor Catalog (16)

1 3 9 11 27 33 99 297 3,463 10,389 31,167 38,093 93,501 114,279 342,837 1,028,511

Collatz Trajectory (139 steps to reach 1)

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

1,028,511 3,085,534 1,542,767 4,628,302 2,314,151 6,942,454 3,471,227 10,413,682 5,206,841 15,620,524 7,810,262 3,905,131 11,715,394 5,857,697 17,573,092 8,786,546 4,393,273 13,179,820 6,589,910 3,294,955 9,884,866 4,942,433 14,827,300 7,413,650 3,706,825 11,120,476 5,560,238 2,780,119 8,340,358 4,170,179 12,510,538 6,255,269 18,765,808 9,382,904 4,691,452 2,345,726 1,172,863 3,518,590 1,759,295 5,277,886 2,638,943 7,916,830 3,958,415 11,875,246 5,937,623 17,812,870 8,906,435 26,719,306 13,359,653 40,078,960 20,039,480 10,019,740 5,009,870 2,504,935 7,514,806 3,757,403 11,272,210 5,636,105 16,908,316 8,454,158

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