λ
Sigma Notebook

8,102,871

32 × 7 × 41 × 3137
Deficient Odd Composite

8,102,871 is odd and not a perfect square. Its factorization is 3^2 × 7 × 41 × 3137 and its 24 divisors sum to 13,706,784.

Prime Factor Structure

Factorization String 3^2 × 7 × 41 × 3137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,706,784
Proper Divisor Sum 5,603,913
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8102867 ← → #8102879

Radix Representation

Decimal 8102871
Binary 11110111010001111010111 (23 bits)
Octal 0o36721727
Hexadecimal 0x7BA3D7

Divisor Catalog (24)

1 3 7 9 21 41 63 123 287 369 861 2,583 3,137 9,411 21,959 28,233 65,877 128,617 197,631 385,851 900,319 1,157,553 2,700,957 8,102,871

Collatz Trajectory (199 steps to reach 1)

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

8,102,871 24,308,614 12,154,307 36,462,922 18,231,461 54,694,384 27,347,192 13,673,596 6,836,798 3,418,399 10,255,198 5,127,599 15,382,798 7,691,399 23,074,198 11,537,099 34,611,298 17,305,649 51,916,948 25,958,474 12,979,237 38,937,712 19,468,856 9,734,428 4,867,214 2,433,607 7,300,822 3,650,411 10,951,234 5,475,617 16,426,852 8,213,426 4,106,713 12,320,140 6,160,070 3,080,035 9,240,106 4,620,053 13,860,160 6,930,080 3,465,040 1,732,520 866,260 433,130 216,565 649,696 324,848 162,424 81,212 40,606 20,303 60,910 30,455 91,366 45,683 137,050 68,525 205,576 102,788 51,394

More profiles

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