λ
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Atlas › Integer Profiles › Node 4,066,986

4,066,986

2 × 3 × 7 × 11 × 8803
Abundant Even Composite

4,066,986 factors as 2 × 3 × 7 × 11 × 8803. Its 32 positive divisors give a proper-divisor sum of 6,075,222, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 8803
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,142,208
Proper Divisor Sum 6,075,222
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #4066981 ← → #4066987

Radix Representation

Decimal 4066986
Binary 1111100000111010101010 (22 bits)
Octal 0o17407252
Hexadecimal 0x3E0EAA

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 8,803 17,606 26,409 52,818 61,621 96,833 123,242 184,863 193,666 290,499 369,726 580,998 677,831 1,355,662 2,033,493 4,066,986

Collatz Trajectory (154 steps to reach 1)

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

4,066,986 2,033,493 6,100,480 3,050,240 1,525,120 762,560 381,280 190,640 95,320 47,660 23,830 11,915 35,746 17,873 53,620 26,810 13,405 40,216 20,108 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

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