λ
Sigma Notebook

1,294,220

22 × 5 × 163 × 397
Abundant Even Composite

1,294,220 is even and not a perfect square. Its factorization is 2^2 × 5 × 163 × 397 and its 24 divisors sum to 2,741,424.

Prime Factor Structure

Factorization String 2^2 × 5 × 163 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,741,424
Proper Divisor Sum 1,447,204
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1294201 ← → #1294231

Radix Representation

Decimal 1294220
Binary 100111011111110001100 (21 bits)
Octal 0o4737614
Hexadecimal 0x13BF8C

Divisor Catalog (24)

1 2 4 5 10 20 163 326 397 652 794 815 1,588 1,630 1,985 3,260 3,970 7,940 64,711 129,422 258,844 323,555 647,110 1,294,220

Collatz Trajectory (93 steps to reach 1)

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

1,294,220 647,110 323,555 970,666 485,333 1,456,000 728,000 364,000 182,000 91,000 45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580 64,790 32,395 97,186 48,593 145,780 72,890 36,445 109,336 54,668 27,334 13,667 41,002 20,501 61,504 30,752 15,376 7,688 3,844 1,922 961 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229

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