λ
Sigma Notebook

2,097,147

3 × 13 × 53773
Deficient Odd Composite

2,097,147 is odd and not a perfect square. Its factorization is 3 × 13 × 53773 and its 8 divisors sum to 3,011,344.

Prime Factor Structure

Factorization String 3 × 13 × 53773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,011,344
Proper Divisor Sum 914,197
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2097143 ← → #2097169

Radix Representation

Decimal 2097147
Binary 111111111111111111011 (21 bits)
Octal 0o7777773
Hexadecimal 0x1FFFFB

Divisor Catalog (8)

1 3 13 39 53,773 161,319 699,049 2,097,147

Collatz Trajectory (135 steps to reach 1)

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

2,097,147 6,291,442 3,145,721 9,437,164 4,718,582 2,359,291 7,077,874 3,538,937 10,616,812 5,308,406 2,654,203 7,962,610 3,981,305 11,943,916 5,971,958 2,985,979 8,957,938 4,478,969 13,436,908 6,718,454 3,359,227 10,077,682 5,038,841 15,116,524 7,558,262 3,779,131 11,337,394 5,668,697 17,006,092 8,503,046 4,251,523 12,754,570 6,377,285 19,131,856 9,565,928 4,782,964 2,391,482 1,195,741 3,587,224 1,793,612 896,806 448,403 1,345,210 672,605 2,017,816 1,008,908 504,454 252,227 756,682 378,341 1,135,024 567,512 283,756 141,878 70,939 212,818 106,409 319,228 159,614 79,807

More profiles

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