8,481,120

2⁵ × 3 × 5 × 17669

8,481,120 is even and not a perfect square. Its factorization is 2^5 × 3 × 5 × 17669 and its 48 divisors sum to 26,717,040.

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 17669

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 26,717,040

Proper Divisor Sum 18,235,920

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #8481119 ← → #8481127

Radix Representation

Decimal	8481120
Binary	100000010110100101100000 (24 bits)
Octal	0o40264540
Hexadecimal	0x816960

Divisor Catalog (48)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 17,669 35,338 53,007 70,676 88,345 106,014 141,352 176,690 212,028 265,035 282,704 353,380 424,056 530,070 565,408 706,760 848,112 1,060,140 1,413,520 1,696,224 2,120,280 2,827,040 4,240,560 8,481,120

Collatz Trajectory (106 steps to reach 1)

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

8,481,120 4,240,560 2,120,280 1,060,140 530,070 265,035 795,106 397,553 1,192,660 596,330 298,165 894,496 447,248 223,624 111,812 55,906 27,953 83,860 41,930 20,965 62,896 31,448 15,724 7,862 3,931 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824

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