λ
Sigma Notebook

1,609,865

5 × 41 × 7853
Deficient Odd Composite

1,609,865 is odd and not a perfect square. Its factorization is 5 × 41 × 7853 and its 8 divisors sum to 1,979,208.

Prime Factor Structure

Factorization String 5 × 41 × 7853
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,979,208
Proper Divisor Sum 369,343
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1609843 ← → #1609871

Radix Representation

Decimal 1609865
Binary 110001001000010001001 (21 bits)
Octal 0o6110211
Hexadecimal 0x189089

Divisor Catalog (8)

1 5 41 205 7,853 39,265 321,973 1,609,865

Collatz Trajectory (119 steps to reach 1)

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

1,609,865 4,829,596 2,414,798 1,207,399 3,622,198 1,811,099 5,433,298 2,716,649 8,149,948 4,074,974 2,037,487 6,112,462 3,056,231 9,168,694 4,584,347 13,753,042 6,876,521 20,629,564 10,314,782 5,157,391 15,472,174 7,736,087 23,208,262 11,604,131 34,812,394 17,406,197 52,218,592 26,109,296 13,054,648 6,527,324 3,263,662 1,631,831 4,895,494 2,447,747 7,343,242 3,671,621 11,014,864 5,507,432 2,753,716 1,376,858 688,429 2,065,288 1,032,644 516,322 258,161 774,484 387,242 193,621 580,864 290,432 145,216 72,608 36,304 18,152 9,076 4,538 2,269 6,808 3,404 1,702

More profiles

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