λ
Sigma Notebook

2,021,229

32 × 7 × 32083
Deficient Odd Composite

2,021,229 is odd and not a perfect square. Its factorization is 3^2 × 7 × 32083 and its 12 divisors sum to 3,336,736.

Prime Factor Structure

Factorization String 3^2 × 7 × 32083
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,336,736
Proper Divisor Sum 1,315,507
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2021219 ← → #2021237

Radix Representation

Decimal 2021229
Binary 111101101011101101101 (21 bits)
Octal 0o7553555
Hexadecimal 0x1ED76D

Divisor Catalog (12)

1 3 7 9 21 63 32,083 96,249 224,581 288,747 673,743 2,021,229

Collatz Trajectory (109 steps to reach 1)

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

2,021,229 6,063,688 3,031,844 1,515,922 757,961 2,273,884 1,136,942 568,471 1,705,414 852,707 2,558,122 1,279,061 3,837,184 1,918,592 959,296 479,648 239,824 119,912 59,956 29,978 14,989 44,968 22,484 11,242 5,621 16,864 8,432 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

More profiles

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