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9,108,400

24 × 52 × 7 × 3253
Abundant Even Composite

9,108,400 factors as 2^4 × 5^2 × 7 × 3253. Its 60 positive divisors give a proper-divisor sum of 15,908,352, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7 × 3253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 25,016,752
Proper Divisor Sum 15,908,352
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9108331 ← → #9108419

Radix Representation

Decimal 9108400
Binary 100010101111101110110000 (24 bits)
Octal 0o42575660
Hexadecimal 0x8AFBB0

Divisor Catalog (60)

1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1,400 2,800 3,253 6,506 13,012 16,265 22,771 26,024 32,530 45,542 52,048 65,060 81,325 91,084 113,855 130,120 162,650 182,168 227,710 260,240 325,300 364,336 455,420 569,275 650,600 910,840 1,138,550 1,301,200 1,821,680 2,277,100 4,554,200 9,108,400

Collatz Trajectory (132 steps to reach 1)

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

9,108,400 4,554,200 2,277,100 1,138,550 569,275 1,707,826 853,913 2,561,740 1,280,870 640,435 1,921,306 960,653 2,881,960 1,440,980 720,490 360,245 1,080,736 540,368 270,184 135,092 67,546 33,773 101,320 50,660 25,330 12,665 37,996 18,998 9,499 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781

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