λ
Sigma Notebook

1,609,470

2 × 34 × 5 × 1987
Abundant Even Composite

1,609,470 is even and not a perfect square. Its factorization is 2 × 3^4 × 5 × 1987 and its 40 divisors sum to 4,329,864.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 1987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,329,864
Proper Divisor Sum 2,720,394
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1609457 ← → #1609477

Radix Representation

Decimal 1609470
Binary 110001000111011111110 (21 bits)
Octal 0o6107376
Hexadecimal 0x188EFE

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 1,987 3,974 5,961 9,935 11,922 17,883 19,870 29,805 35,766 53,649 59,610 89,415 107,298 160,947 178,830 268,245 321,894 536,490 804,735 1,609,470

Collatz Trajectory (145 steps to reach 1)

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

1,609,470 804,735 2,414,206 1,207,103 3,621,310 1,810,655 5,431,966 2,715,983 8,147,950 4,073,975 12,221,926 6,110,963 18,332,890 9,166,445 27,499,336 13,749,668 6,874,834 3,437,417 10,312,252 5,156,126 2,578,063 7,734,190 3,867,095 11,601,286 5,800,643 17,401,930 8,700,965 26,102,896 13,051,448 6,525,724 3,262,862 1,631,431 4,894,294 2,447,147 7,341,442 3,670,721 11,012,164 5,506,082 2,753,041 8,259,124 4,129,562 2,064,781 6,194,344 3,097,172 1,548,586 774,293 2,322,880 1,161,440 580,720 290,360 145,180 72,590 36,295 108,886 54,443 163,330 81,665 244,996 122,498 61,249

More profiles

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