λ
Sigma Notebook

846,010

2 × 5 × 11 × 7691
Deficient Even Composite

846,010 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 7691 and its 16 divisors sum to 1,661,472.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 7691
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,661,472
Proper Divisor Sum 815,462
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #845989 ← → #846037

Radix Representation

Decimal 846010
Binary 11001110100010111010 (20 bits)
Octal 0o3164272
Hexadecimal 0xCE8BA

Divisor Catalog (16)

1 2 5 10 11 22 55 110 7,691 15,382 38,455 76,910 84,601 169,202 423,005 846,010

Collatz Trajectory (56 steps to reach 1)

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

846,010 423,005 1,269,016 634,508 317,254 158,627 475,882 237,941 713,824 356,912 178,456 89,228 44,614 22,307 66,922 33,461 100,384 50,192 25,096 12,548 6,274 3,137 9,412 4,706 2,353 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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