λ
Harmonic Matrix

1,067,406

2 × 3 × 73 × 2437
Abundant Even Composite

1,067,406 has digital root 6. The neighboring primes are 1067387 and 1067411; its proper-divisor sum differs from the starting integer by 30,132.

Prime Factor Structure

Factorization String 2 × 3 × 73 × 2437
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,164,944
Proper Divisor Sum 1,097,538
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1067387 ← → #1067411

Radix Representation

Decimal 1067406
Binary 100000100100110001110 (21 bits)
Octal 0o4044616
Hexadecimal 0x10498E

Divisor Catalog (16)

1 2 3 6 73 146 219 438 2,437 4,874 7,311 14,622 177,901 355,802 533,703 1,067,406

Collatz Trajectory (121 steps to reach 1)

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

1,067,406 533,703 1,601,110 800,555 2,401,666 1,200,833 3,602,500 1,801,250 900,625 2,701,876 1,350,938 675,469 2,026,408 1,013,204 506,602 253,301 759,904 379,952 189,976 94,988 47,494 23,747 71,242 35,621 106,864 53,432 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133

More profiles

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