λ
Sigma Notebook

2,027,831

134 × 71
Deficient Odd Composite

2,027,831 is odd and not a perfect square. Its factorization is 13^4 × 71 and its 10 divisors sum to 2,227,752.

Prime Factor Structure

Factorization String 13^4 × 71
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 2,227,752
Proper Divisor Sum 199,921
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2027821 ← → #2027843

Radix Representation

Decimal 2027831
Binary 111101111000100110111 (21 bits)
Octal 0o7570467
Hexadecimal 0x1EF137

Divisor Catalog (10)

1 13 71 169 923 2,197 11,999 28,561 155,987 2,027,831

Collatz Trajectory (83 steps to reach 1)

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

2,027,831 6,083,494 3,041,747 9,125,242 4,562,621 13,687,864 6,843,932 3,421,966 1,710,983 5,132,950 2,566,475 7,699,426 3,849,713 11,549,140 5,774,570 2,887,285 8,661,856 4,330,928 2,165,464 1,082,732 541,366 270,683 812,050 406,025 1,218,076 609,038 304,519 913,558 456,779 1,370,338 685,169 2,055,508 1,027,754 513,877 1,541,632 770,816 385,408 192,704 96,352 48,176 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146

More profiles

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