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Atlas › Integer Profiles › Node 9,782,148

9,782,148

22 × 3 × 149 × 5471
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 149 × 5471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,982,400
Proper Divisor Sum 13,200,252
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9782137 ← → #9782173

Radix Representation

Decimal 9782148
Binary 100101010100001110000100 (24 bits)
Octal 0o45241604
Hexadecimal 0x954384

Divisor Catalog (24)

1 2 3 4 6 12 149 298 447 596 894 1,788 5,471 10,942 16,413 21,884 32,826 65,652 815,179 1,630,358 2,445,537 3,260,716 4,891,074 9,782,148

Collatz Trajectory (176 steps to reach 1)

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

9,782,148 4,891,074 2,445,537 7,336,612 3,668,306 1,834,153 5,502,460 2,751,230 1,375,615 4,126,846 2,063,423 6,190,270 3,095,135 9,285,406 4,642,703 13,928,110 6,964,055 20,892,166 10,446,083 31,338,250 15,669,125 47,007,376 23,503,688 11,751,844 5,875,922 2,937,961 8,813,884 4,406,942 2,203,471 6,610,414 3,305,207 9,915,622 4,957,811 14,873,434 7,436,717 22,310,152 11,155,076 5,577,538 2,788,769 8,366,308 4,183,154 2,091,577 6,274,732 3,137,366 1,568,683 4,706,050 2,353,025 7,059,076 3,529,538 1,764,769 5,294,308 2,647,154 1,323,577 3,970,732 1,985,366 992,683 2,978,050 1,489,025 4,467,076 2,233,538

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