λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,074,366

1,074,366

2 × 32 × 17 × 3511
Abundant Even Composite

1,074,366 factors as 2 × 3^2 × 17 × 3511. Its 24 positive divisors give a proper-divisor sum of 1,391,058, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 3511
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,465,424
Proper Divisor Sum 1,391,058
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1074361 ← → #1074371

Radix Representation

Decimal 1074366
Binary 100000110010010111110 (21 bits)
Octal 0o4062276
Hexadecimal 0x1064BE

Divisor Catalog (24)

1 2 3 6 9 17 18 34 51 102 153 306 3,511 7,022 10,533 21,066 31,599 59,687 63,198 119,374 179,061 358,122 537,183 1,074,366

Collatz Trajectory (116 steps to reach 1)

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

1,074,366 537,183 1,611,550 805,775 2,417,326 1,208,663 3,625,990 1,812,995 5,438,986 2,719,493 8,158,480 4,079,240 2,039,620 1,019,810 509,905 1,529,716 764,858 382,429 1,147,288 573,644 286,822 143,411 430,234 215,117 645,352 322,676 161,338 80,669 242,008 121,004 60,502 30,251 90,754 45,377 136,132 68,066 34,033 102,100 51,050 25,525 76,576 38,288 19,144 9,572 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138

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