8,884,064

2⁵ × 7 × 17 × 2333

8,884,064 has the prime decomposition 2^5 × 7 × 17 × 2333. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 17 × 2333

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,174,048

Proper Divisor Sum 12,289,984

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8884037 ← → #8884067

Radix Representation

Decimal	8884064
Binary	100001111000111101100000 (24 bits)
Octal	0o41707540
Hexadecimal	0x878F60

Divisor Catalog (48)

1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1,904 2,333 3,808 4,666 9,332 16,331 18,664 32,662 37,328 39,661 65,324 74,656 79,322 130,648 158,644 261,296 277,627 317,288 522,592 555,254 634,576 1,110,508 1,269,152 2,221,016 4,442,032 8,884,064

Collatz Trajectory (137 steps to reach 1)

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

8,884,064 4,442,032 2,221,016 1,110,508 555,254 277,627 832,882 416,441 1,249,324 624,662 312,331 936,994 468,497 1,405,492 702,746 351,373 1,054,120 527,060 263,530 131,765 395,296 197,648 98,824 49,412 24,706 12,353 37,060 18,530 9,265 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466 233 700 350 175 526 263

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