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Atlas › Integer Profiles › Node 2,099,080

2,099,080

23 × 5 × 97 × 541
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 97 × 541
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,780,440
Proper Divisor Sum 2,681,360
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2099059 ← → #2099081

Radix Representation

Decimal 2099080
Binary 1000000000011110001000 (22 bits)
Octal 0o10003610
Hexadecimal 0x200788

Divisor Catalog (32)

1 2 4 5 8 10 20 40 97 194 388 485 541 776 970 1,082 1,940 2,164 2,705 3,880 4,328 5,410 10,820 21,640 52,477 104,954 209,908 262,385 419,816 524,770 1,049,540 2,099,080

Collatz Trajectory (122 steps to reach 1)

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

2,099,080 1,049,540 524,770 262,385 787,156 393,578 196,789 590,368 295,184 147,592 73,796 36,898 18,449 55,348 27,674 13,837 41,512 20,756 10,378 5,189 15,568 7,784 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

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