8,792,400

2⁴ × 3 × 5² × 17 × 431

8,792,400 is even and not a perfect square. Its factorization is 2^4 × 3 × 5^2 × 17 × 431 and its 120 divisors sum to 29,890,944.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 17 × 431

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 29,890,944

Proper Divisor Sum 21,098,544

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8792393 ← → #8792401

Radix Representation

Decimal	8792400
Binary	100001100010100101010000 (24 bits)
Octal	0o41424520
Hexadecimal	0x862950

Divisor Catalog (60 of 120)

1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 431 510 600 680 816 850 862 1,020 1,200 1,275 1,293 1,360 1,700 1,724 2,040 2,155 2,550 2,586

Collatz Trajectory (62 steps to reach 1)

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

8,792,400 4,396,200 2,198,100 1,099,050 549,525 1,648,576 824,288 412,144 206,072 103,036 51,518 25,759 77,278 38,639 115,918 57,959 173,878 86,939 260,818 130,409 391,228 195,614 97,807 293,422 146,711 440,134 220,067 660,202 330,101 990,304 495,152 247,576 123,788 61,894 30,947 92,842 46,421 139,264 69,632 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8

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