λ
Sigma Notebook

526,026

2 × 3 × 87671
Abundant Even Composite

526,026 is even and not a perfect square. Its factorization is 2 × 3 × 87671 and its 8 divisors sum to 1,052,064.

Prime Factor Structure

Factorization String 2 × 3 × 87671
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,052,064
Proper Divisor Sum 526,038
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #525983 ← → #526027

Radix Representation

Decimal 526026
Binary 10000000011011001010 (20 bits)
Octal 0o2003312
Hexadecimal 0x806CA

Divisor Catalog (8)

1 2 3 6 87,671 175,342 263,013 526,026

Collatz Trajectory (164 steps to reach 1)

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

526,026 263,013 789,040 394,520 197,260 98,630 49,315 147,946 73,973 221,920 110,960 55,480 27,740 13,870 6,935 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248 124 62 31 94

More profiles

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