λ
Sigma Notebook

6,912,269

7 × 132 × 5843
Deficient Odd Composite

6,912,269 is odd and not a perfect square. Its factorization is 7 × 13^2 × 5843 and its 12 divisors sum to 8,555,616.

Prime Factor Structure

Factorization String 7 × 13^2 × 5843
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,555,616
Proper Divisor Sum 1,643,347
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6912253 ← → #6912271

Radix Representation

Decimal 6912269
Binary 11010010111100100001101 (23 bits)
Octal 0o32274415
Hexadecimal 0x69790D

Divisor Catalog (12)

1 7 13 91 169 1,183 5,843 40,901 75,959 531,713 987,467 6,912,269

Collatz Trajectory (191 steps to reach 1)

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

6,912,269 20,736,808 10,368,404 5,184,202 2,592,101 7,776,304 3,888,152 1,944,076 972,038 486,019 1,458,058 729,029 2,187,088 1,093,544 546,772 273,386 136,693 410,080 205,040 102,520 51,260 25,630 12,815 38,446 19,223 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219

More profiles

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