λ
Harmonic Matrix

3,417,675

3 × 52 × 45569
Deficient Odd Composite

3,417,675 has digital root 6. The neighboring primes are 3417671 and 3417677; its proper-divisor sum differs from the starting integer by -1,184,670.

Prime Factor Structure

Factorization String 3 × 5^2 × 45569
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,650,680
Proper Divisor Sum 2,233,005
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3417671 ← → #3417677

Radix Representation

Decimal 3417675
Binary 1101000010011001001011 (22 bits)
Octal 0o15023113
Hexadecimal 0x34264B

Divisor Catalog (12)

1 3 5 15 25 75 45,569 136,707 227,845 683,535 1,139,225 3,417,675

Collatz Trajectory (146 steps to reach 1)

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

3,417,675 10,253,026 5,126,513 15,379,540 7,689,770 3,844,885 11,534,656 5,767,328 2,883,664 1,441,832 720,916 360,458 180,229 540,688 270,344 135,172 67,586 33,793 101,380 50,690 25,345 76,036 38,018 19,009 57,028 28,514 14,257 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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