λ
Sigma Notebook

871,286

2 × 13 × 23 × 31 × 47
Deficient Even Composite

871,286 is even and not a perfect square. Its factorization is 2 × 13 × 23 × 31 × 47 and its 32 divisors sum to 1,548,288.

Prime Factor Structure

Factorization String 2 × 13 × 23 × 31 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,548,288
Proper Divisor Sum 677,002
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #871271 ← → #871289

Radix Representation

Decimal 871286
Binary 11010100101101110110 (20 bits)
Octal 0o3245566
Hexadecimal 0xD4B76

Divisor Catalog (32)

1 2 13 23 26 31 46 47 62 94 299 403 598 611 713 806 1,081 1,222 1,426 1,457 2,162 2,914 9,269 14,053 18,538 18,941 28,106 33,511 37,882 67,022 435,643 871,286

Collatz Trajectory (157 steps to reach 1)

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

871,286 435,643 1,306,930 653,465 1,960,396 980,198 490,099 1,470,298 735,149 2,205,448 1,102,724 551,362 275,681 827,044 413,522 206,761 620,284 310,142 155,071 465,214 232,607 697,822 348,911 1,046,734 523,367 1,570,102 785,051 2,355,154 1,177,577 3,532,732 1,766,366 883,183 2,649,550 1,324,775 3,974,326 1,987,163 5,961,490 2,980,745 8,942,236 4,471,118 2,235,559 6,706,678 3,353,339 10,060,018 5,030,009 15,090,028 7,545,014 3,772,507 11,317,522 5,658,761 16,976,284 8,488,142 4,244,071 12,732,214 6,366,107 19,098,322 9,549,161 28,647,484 14,323,742 7,161,871

More profiles

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