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Atlas › Integer Profiles › Node 4,161,990

4,161,990

2 × 3 × 5 × 7 × 19819
Abundant Even Composite

4,161,990 factors as 2 × 3 × 5 × 7 × 19819. Its 32 positive divisors give a proper-divisor sum of 7,254,330, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 19819
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,416,320
Proper Divisor Sum 7,254,330
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4161977 ← → #4162003

Radix Representation

Decimal 4161990
Binary 1111111000000111000110 (22 bits)
Octal 0o17700706
Hexadecimal 0x3F81C6

Divisor Catalog (32)

1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 19,819 39,638 59,457 99,095 118,914 138,733 198,190 277,466 297,285 416,199 594,570 693,665 832,398 1,387,330 2,080,995 4,161,990

Collatz Trajectory (79 steps to reach 1)

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

4,161,990 2,080,995 6,242,986 3,121,493 9,364,480 4,682,240 2,341,120 1,170,560 585,280 292,640 146,320 73,160 36,580 18,290 9,145 27,436 13,718 6,859 20,578 10,289 30,868 15,434 7,717 23,152 11,576 5,788 2,894 1,447 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736

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