λ
Sigma Notebook

815,706

2 × 32 × 45317
Abundant Even Composite

815,706 is even and not a perfect square. Its factorization is 2 × 3^2 × 45317 and its 12 divisors sum to 1,767,402.

Prime Factor Structure

Factorization String 2 × 3^2 × 45317
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,767,402
Proper Divisor Sum 951,696
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #815693 ← → #815713

Radix Representation

Decimal 815706
Binary 11000111001001011010 (20 bits)
Octal 0o3071132
Hexadecimal 0xC725A

Divisor Catalog (12)

1 2 3 6 9 18 45,317 90,634 135,951 271,902 407,853 815,706

Collatz Trajectory (87 steps to reach 1)

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

815,706 407,853 1,223,560 611,780 305,890 152,945 458,836 229,418 114,709 344,128 172,064 86,032 43,016 21,508 10,754 5,377 16,132 8,066 4,033 12,100 6,050 3,025 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866

More profiles

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