λ
Sigma Notebook

3,660,786

2 × 32 × 29 × 7013
Abundant Even Composite

3,660,786 is even and not a perfect square. Its factorization is 2 × 3^2 × 29 × 7013 and its 24 divisors sum to 8,206,380.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 7013
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,206,380
Proper Divisor Sum 4,545,594
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3660739 ← → #3660799

Radix Representation

Decimal 3660786
Binary 1101111101101111110010 (22 bits)
Octal 0o15755762
Hexadecimal 0x37DBF2

Divisor Catalog (24)

1 2 3 6 9 18 29 58 87 174 261 522 7,013 14,026 21,039 42,078 63,117 126,234 203,377 406,754 610,131 1,220,262 1,830,393 3,660,786

Collatz Trajectory (172 steps to reach 1)

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

3,660,786 1,830,393 5,491,180 2,745,590 1,372,795 4,118,386 2,059,193 6,177,580 3,088,790 1,544,395 4,633,186 2,316,593 6,949,780 3,474,890 1,737,445 5,212,336 2,606,168 1,303,084 651,542 325,771 977,314 488,657 1,465,972 732,986 366,493 1,099,480 549,740 274,870 137,435 412,306 206,153 618,460 309,230 154,615 463,846 231,923 695,770 347,885 1,043,656 521,828 260,914 130,457 391,372 195,686 97,843 293,530 146,765 440,296 220,148 110,074 55,037 165,112 82,556 41,278 20,639 61,918 30,959 92,878 46,439 139,318

More profiles

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