λ
Sigma Notebook

8,429,994

2 × 34 × 17 × 3061
Abundant Even Composite

8,429,994 is even and not a perfect square. Its factorization is 2 × 3^4 × 17 × 3061 and its 40 divisors sum to 20,007,108.

Prime Factor Structure

Factorization String 2 × 3^4 × 17 × 3061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 20,007,108
Proper Divisor Sum 11,577,114
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8429963 ← → #8430013

Radix Representation

Decimal 8429994
Binary 100000001010000110101010 (24 bits)
Octal 0o40120652
Hexadecimal 0x80A1AA

Divisor Catalog (40)

1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1,377 2,754 3,061 6,122 9,183 18,366 27,549 52,037 55,098 82,647 104,074 156,111 165,294 247,941 312,222 468,333 495,882 936,666 1,404,999 2,809,998 4,214,997 8,429,994

Collatz Trajectory (155 steps to reach 1)

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

8,429,994 4,214,997 12,644,992 6,322,496 3,161,248 1,580,624 790,312 395,156 197,578 98,789 296,368 148,184 74,092 37,046 18,523 55,570 27,785 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486

More profiles

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