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Atlas › Integer Profiles › Node 9,104,046

9,104,046

2 × 3 × 7 × 43 × 712
Abundant Even Composite

9,104,046 factors as 2 × 3 × 7 × 43 × 71^2. Its 48 positive divisors give a proper-divisor sum of 12,493,266, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 43 × 71^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 21,597,312
Proper Divisor Sum 12,493,266
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9104033 ← → #9104047

Radix Representation

Decimal 9104046
Binary 100010101110101010101110 (24 bits)
Octal 0o42565256
Hexadecimal 0x8AEAAE

Divisor Catalog (48)

1 2 3 6 7 14 21 42 43 71 86 129 142 213 258 301 426 497 602 903 994 1,491 1,806 2,982 3,053 5,041 6,106 9,159 10,082 15,123 18,318 21,371 30,246 35,287 42,742 64,113 70,574 105,861 128,226 211,722 216,763 433,526 650,289 1,300,578 1,517,341 3,034,682 4,552,023 9,104,046

Collatz Trajectory (80 steps to reach 1)

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

9,104,046 4,552,023 13,656,070 6,828,035 20,484,106 10,242,053 30,726,160 15,363,080 7,681,540 3,840,770 1,920,385 5,761,156 2,880,578 1,440,289 4,320,868 2,160,434 1,080,217 3,240,652 1,620,326 810,163 2,430,490 1,215,245 3,645,736 1,822,868 911,434 455,717 1,367,152 683,576 341,788 170,894 85,447 256,342 128,171 384,514 192,257 576,772 288,386 144,193 432,580 216,290 108,145 324,436 162,218 81,109 243,328 121,664 60,832 30,416 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606

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