λ
Harmonic Matrix

4,231,797

3 × 1410599
Deficient Odd Composite

4,231,797 has digital root 6. The neighboring primes are 4231789 and 4231811; its proper-divisor sum differs from the starting integer by -2,821,194.

Prime Factor Structure

Factorization String 3 × 1410599
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,642,400
Proper Divisor Sum 1,410,603
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4231789 ← → #4231811

Radix Representation

Decimal 4231797
Binary 10000001001001001110101 (23 bits)
Octal 0o20111165
Hexadecimal 0x409275

Divisor Catalog (4)

1 3 1,410,599 4,231,797

Collatz Trajectory (180 steps to reach 1)

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

4,231,797 12,695,392 6,347,696 3,173,848 1,586,924 793,462 396,731 1,190,194 595,097 1,785,292 892,646 446,323 1,338,970 669,485 2,008,456 1,004,228 502,114 251,057 753,172 376,586 188,293 564,880 282,440 141,220 70,610 35,305 105,916 52,958 26,479 79,438 39,719 119,158 59,579 178,738 89,369 268,108 134,054 67,027 201,082 100,541 301,624 150,812 75,406 37,703 113,110 56,555 169,666 84,833 254,500 127,250 63,625 190,876 95,438 47,719 143,158 71,579 214,738 107,369 322,108 161,054

More profiles

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