λ
Zalai Atlas

861,642

2 × 32 × 47869
Abundant Even Composite

861,642 has the prime decomposition 2 × 3^2 × 47869. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 47869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,866,930
Proper Divisor Sum 1,005,288
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #861617 ← → #861647

Radix Representation

Decimal 861642
Binary 11010010010111001010 (20 bits)
Octal 0o3222712
Hexadecimal 0xD25CA

Divisor Catalog (12)

1 2 3 6 9 18 47,869 95,738 143,607 287,214 430,821 861,642

Collatz Trajectory (56 steps to reach 1)

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

861,642 430,821 1,292,464 646,232 323,116 161,558 80,779 242,338 121,169 363,508 181,754 90,877 272,632 136,316 68,158 34,079 102,238 51,119 153,358 76,679 230,038 115,019 345,058 172,529 517,588 258,794 129,397 388,192 194,096 97,048 48,524 24,262 12,131 36,394 18,197 54,592 27,296 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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