λ
Harmonic Matrix

3,471,245

5 × 173 × 4013
Deficient Odd Composite

3,471,245 has digital root 8. The neighboring primes are 3471241 and 3471263; its proper-divisor sum differs from the starting integer by -2,751,874.

Prime Factor Structure

Factorization String 5 × 173 × 4013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,190,616
Proper Divisor Sum 719,371
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3471241 ← → #3471263

Radix Representation

Decimal 3471245
Binary 1101001111011110001101 (22 bits)
Octal 0o15173615
Hexadecimal 0x34F78D

Divisor Catalog (8)

1 5 173 865 4,013 20,065 694,249 3,471,245

Collatz Trajectory (97 steps to reach 1)

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

3,471,245 10,413,736 5,206,868 2,603,434 1,301,717 3,905,152 1,952,576 976,288 488,144 244,072 122,036 61,018 30,509 91,528 45,764 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545 1,636 818 409 1,228 614

More profiles

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