λ
Sigma Notebook

9,274,284

22 × 33 × 79 × 1087
Abundant Even Composite

9,274,284 is even and not a perfect square. Its factorization is 2^2 × 3^3 × 79 × 1087 and its 48 divisors sum to 24,371,200.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 79 × 1087
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,371,200
Proper Divisor Sum 15,096,916
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9274277 ← → #9274319

Radix Representation

Decimal 9274284
Binary 100011011000001110101100 (24 bits)
Octal 0o43301654
Hexadecimal 0x8D83AC

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 36 54 79 108 158 237 316 474 711 948 1,087 1,422 2,133 2,174 2,844 3,261 4,266 4,348 6,522 8,532 9,783 13,044 19,566 29,349 39,132 58,698 85,873 117,396 171,746 257,619 343,492 515,238 772,857 1,030,476 1,545,714 2,318,571 3,091,428 4,637,142 9,274,284

Collatz Trajectory (101 steps to reach 1)

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

9,274,284 4,637,142 2,318,571 6,955,714 3,477,857 10,433,572 5,216,786 2,608,393 7,825,180 3,912,590 1,956,295 5,868,886 2,934,443 8,803,330 4,401,665 13,204,996 6,602,498 3,301,249 9,903,748 4,951,874 2,475,937 7,427,812 3,713,906 1,856,953 5,570,860 2,785,430 1,392,715 4,178,146 2,089,073 6,267,220 3,133,610 1,566,805 4,700,416 2,350,208 1,175,104 587,552 293,776 146,888 73,444 36,722 18,361 55,084 27,542 13,771 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808

More profiles

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