λ
Sigma Notebook

2,353,221

32 × 13 × 20113
Deficient Odd Composite

2,353,221 is odd and not a perfect square. Its factorization is 3^2 × 13 × 20113 and its 12 divisors sum to 3,660,748.

Prime Factor Structure

Factorization String 3^2 × 13 × 20113
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,660,748
Proper Divisor Sum 1,307,527
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2353217 ← → #2353223

Radix Representation

Decimal 2353221
Binary 1000111110100001000101 (22 bits)
Octal 0o10764105
Hexadecimal 0x23E845

Divisor Catalog (12)

1 3 9 13 39 117 20,113 60,339 181,017 261,469 784,407 2,353,221

Collatz Trajectory (68 steps to reach 1)

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

2,353,221 7,059,664 3,529,832 1,764,916 882,458 441,229 1,323,688 661,844 330,922 165,461 496,384 248,192 124,096 62,048 31,024 15,512 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13

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