8,475,480

2³ × 3² × 5 × 13 × 1811

8,475,480 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 5 × 13 × 1811 and its 96 divisors sum to 29,680,560.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 13 × 1811

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 29,680,560

Proper Divisor Sum 21,205,080

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8475473 ← → #8475487

Radix Representation

Decimal	8475480
Binary	100000010101001101011000 (24 bits)
Octal	0o40251530
Hexadecimal	0x815358

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1,170 1,560 1,811 2,340 3,622 4,680 5,433 7,244 9,055 10,866 14,488 16,299 18,110 21,732 23,543 27,165

Collatz Trajectory (106 steps to reach 1)

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

8,475,480 4,237,740 2,118,870 1,059,435 3,178,306 1,589,153 4,767,460 2,383,730 1,191,865 3,575,596 1,787,798 893,899 2,681,698 1,340,849 4,022,548 2,011,274 1,005,637 3,016,912 1,508,456 754,228 377,114 188,557 565,672 282,836 141,418 70,709 212,128 106,064 53,032 26,516 13,258 6,629 19,888 9,944 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498

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