λ
Sigma Notebook

2,021,313

3 × 7 × 101 × 953
Deficient Odd Composite

2,021,313 is odd and not a perfect square. Its factorization is 3 × 7 × 101 × 953 and its 16 divisors sum to 3,113,856.

Prime Factor Structure

Factorization String 3 × 7 × 101 × 953
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,113,856
Proper Divisor Sum 1,092,543
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #2021291 ← → #2021321

Radix Representation

Decimal 2021313
Binary 111101101011111000001 (21 bits)
Octal 0o7553701
Hexadecimal 0x1ED7C1

Divisor Catalog (16)

1 3 7 21 101 303 707 953 2,121 2,859 6,671 20,013 96,253 288,759 673,771 2,021,313

Collatz Trajectory (228 steps to reach 1)

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

2,021,313 6,063,940 3,031,970 1,515,985 4,547,956 2,273,978 1,136,989 3,410,968 1,705,484 852,742 426,371 1,279,114 639,557 1,918,672 959,336 479,668 239,834 119,917 359,752 179,876 89,938 44,969 134,908 67,454 33,727 101,182 50,591 151,774 75,887 227,662 113,831 341,494 170,747 512,242 256,121 768,364 384,182 192,091 576,274 288,137 864,412 432,206 216,103 648,310 324,155 972,466 486,233 1,458,700 729,350 364,675 1,094,026 547,013 1,641,040 820,520 410,260 205,130 102,565 307,696 153,848 76,924

More profiles

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