λ
Sigma Notebook

2,221,143

3 × 149 × 4969
Deficient Odd Composite

2,221,143 is odd and not a perfect square. Its factorization is 3 × 149 × 4969 and its 8 divisors sum to 2,982,000.

Prime Factor Structure

Factorization String 3 × 149 × 4969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,982,000
Proper Divisor Sum 760,857
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2221129 ← → #2221159

Radix Representation

Decimal 2221143
Binary 1000011110010001010111 (22 bits)
Octal 0o10362127
Hexadecimal 0x21E457

Divisor Catalog (8)

1 3 149 447 4,969 14,907 740,381 2,221,143

Collatz Trajectory (60 steps to reach 1)

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

2,221,143 6,663,430 3,331,715 9,995,146 4,997,573 14,992,720 7,496,360 3,748,180 1,874,090 937,045 2,811,136 1,405,568 702,784 351,392 175,696 87,848 43,924 21,962 10,981 32,944 16,472 8,236 4,118 2,059 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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