λ
Sigma Notebook

6,001,821

32 × 7 × 95267
Deficient Odd Composite

6,001,821 is odd and not a perfect square. Its factorization is 3^2 × 7 × 95267 and its 12 divisors sum to 9,907,872.

Prime Factor Structure

Factorization String 3^2 × 7 × 95267
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,907,872
Proper Divisor Sum 3,906,051
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #6001819 ← → #6001829

Radix Representation

Decimal 6001821
Binary 10110111001010010011101 (23 bits)
Octal 0o26712235
Hexadecimal 0x5B949D

Divisor Catalog (12)

1 3 7 9 21 63 95,267 285,801 666,869 857,403 2,000,607 6,001,821

Collatz Trajectory (214 steps to reach 1)

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

6,001,821 18,005,464 9,002,732 4,501,366 2,250,683 6,752,050 3,376,025 10,128,076 5,064,038 2,532,019 7,596,058 3,798,029 11,394,088 5,697,044 2,848,522 1,424,261 4,272,784 2,136,392 1,068,196 534,098 267,049 801,148 400,574 200,287 600,862 300,431 901,294 450,647 1,351,942 675,971 2,027,914 1,013,957 3,041,872 1,520,936 760,468 380,234 190,117 570,352 285,176 142,588 71,294 35,647 106,942 53,471 160,414 80,207 240,622 120,311 360,934 180,467 541,402 270,701 812,104 406,052 203,026 101,513 304,540 152,270 76,135 228,406

More profiles

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