λ
Sigma Notebook

676,468

22 × 13 × 13009
Deficient Even Composite

676,468 is even and not a perfect square. Its factorization is 2^2 × 13 × 13009 and its 12 divisors sum to 1,274,980.

Prime Factor Structure

Factorization String 2^2 × 13 × 13009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,274,980
Proper Divisor Sum 598,512
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #676463 ← → #676469

Radix Representation

Decimal 676468
Binary 10100101001001110100 (20 bits)
Octal 0o2451164
Hexadecimal 0xA5274

Divisor Catalog (12)

1 2 4 13 26 52 13,009 26,018 52,036 169,117 338,234 676,468

Collatz Trajectory (61 steps to reach 1)

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

676,468 338,234 169,117 507,352 253,676 126,838 63,419 190,258 95,129 285,388 142,694 71,347 214,042 107,021 321,064 160,532 80,266 40,133 120,400 60,200 30,100 15,050 7,525 22,576 11,288 5,644 2,822 1,411 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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