λ
Harmonic Matrix

4,069,949

13 × 337 × 929
Deficient Odd Composite

4,069,949 has digital root 5. The neighboring primes are 4069937 and 4069991; its proper-divisor sum differs from the starting integer by -3,739,138.

Prime Factor Structure

Factorization String 13 × 337 × 929
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,400,760
Proper Divisor Sum 330,811
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4069937 ← → #4069991

Radix Representation

Decimal 4069949
Binary 1111100001101000111101 (22 bits)
Octal 0o17415075
Hexadecimal 0x3E1A3D

Divisor Catalog (8)

1 13 337 929 4,381 12,077 313,073 4,069,949

Collatz Trajectory (242 steps to reach 1)

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

4,069,949 12,209,848 6,104,924 3,052,462 1,526,231 4,578,694 2,289,347 6,868,042 3,434,021 10,302,064 5,151,032 2,575,516 1,287,758 643,879 1,931,638 965,819 2,897,458 1,448,729 4,346,188 2,173,094 1,086,547 3,259,642 1,629,821 4,889,464 2,444,732 1,222,366 611,183 1,833,550 916,775 2,750,326 1,375,163 4,125,490 2,062,745 6,188,236 3,094,118 1,547,059 4,641,178 2,320,589 6,961,768 3,480,884 1,740,442 870,221 2,610,664 1,305,332 652,666 326,333 979,000 489,500 244,750 122,375 367,126 183,563 550,690 275,345 826,036 413,018 206,509 619,528 309,764 154,882

More profiles

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