λ
Sigma Notebook

2,124,770

2 × 5 × 19 × 53 × 211
Deficient Even Composite

2,124,770 is even and not a perfect square. Its factorization is 2 × 5 × 19 × 53 × 211 and its 32 divisors sum to 4,121,280.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 53 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,121,280
Proper Divisor Sum 1,996,510
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2124769 ← → #2124791

Radix Representation

Decimal 2124770
Binary 1000000110101111100010 (22 bits)
Octal 0o10065742
Hexadecimal 0x206BE2

Divisor Catalog (32)

1 2 5 10 19 38 53 95 106 190 211 265 422 530 1,007 1,055 2,014 2,110 4,009 5,035 8,018 10,070 11,183 20,045 22,366 40,090 55,915 111,830 212,477 424,954 1,062,385 2,124,770

Collatz Trajectory (47 steps to reach 1)

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

2,124,770 1,062,385 3,187,156 1,593,578 796,789 2,390,368 1,195,184 597,592 298,796 149,398 74,699 224,098 112,049 336,148 168,074 84,037 252,112 126,056 63,028 31,514 15,757 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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