λ
Harmonic Matrix

3,257,427

3 × 1085809
Deficient Odd Composite

3,257,427 has digital root 3. The neighboring primes are 3257413 and 3257447; its proper-divisor sum differs from the starting integer by -2,171,614.

Prime Factor Structure

Factorization String 3 × 1085809
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,343,240
Proper Divisor Sum 1,085,813
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3257413 ← → #3257447

Radix Representation

Decimal 3257427
Binary 1100011011010001010011 (22 bits)
Octal 0o14332123
Hexadecimal 0x31B453

Divisor Catalog (4)

1 3 1,085,809 3,257,427

Collatz Trajectory (177 steps to reach 1)

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

3,257,427 9,772,282 4,886,141 14,658,424 7,329,212 3,664,606 1,832,303 5,496,910 2,748,455 8,245,366 4,122,683 12,368,050 6,184,025 18,552,076 9,276,038 4,638,019 13,914,058 6,957,029 20,871,088 10,435,544 5,217,772 2,608,886 1,304,443 3,913,330 1,956,665 5,869,996 2,934,998 1,467,499 4,402,498 2,201,249 6,603,748 3,301,874 1,650,937 4,952,812 2,476,406 1,238,203 3,714,610 1,857,305 5,571,916 2,785,958 1,392,979 4,178,938 2,089,469 6,268,408 3,134,204 1,567,102 783,551 2,350,654 1,175,327 3,525,982 1,762,991 5,288,974 2,644,487 7,933,462 3,966,731 11,900,194 5,950,097 17,850,292 8,925,146 4,462,573

More profiles

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