λ
Harmonic Matrix

1,810,485

33 × 5 × 13411
Deficient Odd Composite

1,810,485 has digital root 9. The neighboring primes are 1810481 and 1810507; its proper-divisor sum differs from the starting integer by -402,090.

Prime Factor Structure

Factorization String 3^3 × 5 × 13411
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,218,880
Proper Divisor Sum 1,408,395
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1810481 ← → #1810507

Radix Representation

Decimal 1810485
Binary 110111010000000110101 (21 bits)
Octal 0o6720065
Hexadecimal 0x1BA035

Divisor Catalog (16)

1 3 5 9 15 27 45 135 13,411 40,233 67,055 120,699 201,165 362,097 603,495 1,810,485

Collatz Trajectory (158 steps to reach 1)

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

1,810,485 5,431,456 2,715,728 1,357,864 678,932 339,466 169,733 509,200 254,600 127,300 63,650 31,825 95,476 47,738 23,869 71,608 35,804 17,902 8,951 26,854 13,427 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322

More profiles

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