λ
Harmonic Matrix

3,123,869

7 × 17 × 26251
Deficient Odd Composite

3,123,869 has digital root 5. The neighboring primes are 3123863 and 3123881; its proper-divisor sum differs from the starting integer by -2,467,450.

Prime Factor Structure

Factorization String 7 × 17 × 26251
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,780,288
Proper Divisor Sum 656,419
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3123863 ← → #3123881

Radix Representation

Decimal 3123869
Binary 1011111010101010011101 (22 bits)
Octal 0o13725235
Hexadecimal 0x2FAA9D

Divisor Catalog (8)

1 7 17 119 26,251 183,757 446,267 3,123,869

Collatz Trajectory (156 steps to reach 1)

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

3,123,869 9,371,608 4,685,804 2,342,902 1,171,451 3,514,354 1,757,177 5,271,532 2,635,766 1,317,883 3,953,650 1,976,825 5,930,476 2,965,238 1,482,619 4,447,858 2,223,929 6,671,788 3,335,894 1,667,947 5,003,842 2,501,921 7,505,764 3,752,882 1,876,441 5,629,324 2,814,662 1,407,331 4,221,994 2,110,997 6,332,992 3,166,496 1,583,248 791,624 395,812 197,906 98,953 296,860 148,430 74,215 222,646 111,323 333,970 166,985 500,956 250,478 125,239 375,718 187,859 563,578 281,789 845,368 422,684 211,342 105,671 317,014 158,507 475,522 237,761 713,284

More profiles

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