λ
Harmonic Matrix

2,067,645

3 × 5 × 307 × 449
Deficient Odd Composite

2,067,645 has digital root 3. The neighboring primes are 2067623 and 2067647; its proper-divisor sum differs from the starting integer by -808,890.

Prime Factor Structure

Factorization String 3 × 5 × 307 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,326,400
Proper Divisor Sum 1,258,755
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2067623 ← → #2067647

Radix Representation

Decimal 2067645
Binary 111111000110010111101 (21 bits)
Octal 0o7706275
Hexadecimal 0x1F8CBD

Divisor Catalog (16)

1 3 5 15 307 449 921 1,347 1,535 2,245 4,605 6,735 137,843 413,529 689,215 2,067,645

Collatz Trajectory (197 steps to reach 1)

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

2,067,645 6,202,936 3,101,468 1,550,734 775,367 2,326,102 1,163,051 3,489,154 1,744,577 5,233,732 2,616,866 1,308,433 3,925,300 1,962,650 981,325 2,943,976 1,471,988 735,994 367,997 1,103,992 551,996 275,998 137,999 413,998 206,999 620,998 310,499 931,498 465,749 1,397,248 698,624 349,312 174,656 87,328 43,664 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731

More profiles

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