λ
Sigma Notebook

8,704,296

23 × 32 × 53 × 2281
Abundant Even Composite

8,704,296 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 53 × 2281 and its 48 divisors sum to 24,029,460.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 53 × 2281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,029,460
Proper Divisor Sum 15,325,164
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8704279 ← → #8704303

Radix Representation

Decimal 8704296
Binary 100001001101000100101000 (24 bits)
Octal 0o41150450
Hexadecimal 0x84D128

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1,272 1,908 2,281 3,816 4,562 6,843 9,124 13,686 18,248 20,529 27,372 41,058 54,744 82,116 120,893 164,232 241,786 362,679 483,572 725,358 967,144 1,088,037 1,450,716 2,176,074 2,901,432 4,352,148 8,704,296

Collatz Trajectory (106 steps to reach 1)

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

8,704,296 4,352,148 2,176,074 1,088,037 3,264,112 1,632,056 816,028 408,014 204,007 612,022 306,011 918,034 459,017 1,377,052 688,526 344,263 1,032,790 516,395 1,549,186 774,593 2,323,780 1,161,890 580,945 1,742,836 871,418 435,709 1,307,128 653,564 326,782 163,391 490,174 245,087 735,262 367,631 1,102,894 551,447 1,654,342 827,171 2,481,514 1,240,757 3,722,272 1,861,136 930,568 465,284 232,642 116,321 348,964 174,482 87,241 261,724 130,862 65,431 196,294 98,147 294,442 147,221 441,664 220,832 110,416 55,208

More profiles

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