λ
Sigma Notebook

1,556,170

2 × 5 × 7 × 11 × 43 × 47
Abundant Even Composite

1,556,170 is even and not a perfect square. Its factorization is 2 × 5 × 7 × 11 × 43 × 47 and its 64 divisors sum to 3,649,536.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 43 × 47
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,649,536
Proper Divisor Sum 2,093,366
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1556147 ← → #1556173

Radix Representation

Decimal 1556170
Binary 101111011111011001010 (21 bits)
Octal 0o5737312
Hexadecimal 0x17BECA

Divisor Catalog (60 of 64)

1 2 5 7 10 11 14 22 35 43 47 55 70 77 86 94 110 154 215 235 301 329 385 430 470 473 517 602 658 770 946 1,034 1,505 1,645 2,021 2,365 2,585 3,010 3,290 3,311 3,619 4,042 4,730 5,170 6,622 7,238 10,105 14,147 16,555 18,095 20,210 22,231 28,294 33,110 36,190 44,462 70,735 111,155 141,470 155,617

Collatz Trajectory (163 steps to reach 1)

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

1,556,170 778,085 2,334,256 1,167,128 583,564 291,782 145,891 437,674 218,837 656,512 328,256 164,128 82,064 41,032 20,516 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47

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