λ
Sigma Notebook

6,731,317

823 × 8179
Deficient Odd Composite

6,731,317 is odd and not a perfect square. Its factorization is 823 × 8179 and its 4 divisors sum to 6,740,320.

Prime Factor Structure

Factorization String 823 × 8179
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,740,320
Proper Divisor Sum 9,003
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6731311 ← → #6731323

Radix Representation

Decimal 6731317
Binary 11001101011011000110101 (23 bits)
Octal 0o31533065
Hexadecimal 0x66B635

Divisor Catalog (4)

1 823 8,179 6,731,317

Collatz Trajectory (54 steps to reach 1)

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

6,731,317 20,193,952 10,096,976 5,048,488 2,524,244 1,262,122 631,061 1,893,184 946,592 473,296 236,648 118,324 59,162 29,581 88,744 44,372 22,186 11,093 33,280 16,640 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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