λ
Harmonic Matrix

1,605,559

1605559
Deficient Odd Prime

1,605,559 has digital root 4. The neighboring primes are 1605553 and 1605563; its proper-divisor sum differs from the starting integer by -1,605,558.

Prime Factor Structure

Factorization String 1605559
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,605,560
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1605553 ← → #1605563

Radix Representation

Decimal 1605559
Binary 110000111111110110111 (21 bits)
Octal 0o6077667
Hexadecimal 0x187FB7

Divisor Catalog (2)

Collatz Trajectory (145 steps to reach 1)

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

1,605,559 4,816,678 2,408,339 7,225,018 3,612,509 10,837,528 5,418,764 2,709,382 1,354,691 4,064,074 2,032,037 6,096,112 3,048,056 1,524,028 762,014 381,007 1,143,022 571,511 1,714,534 857,267 2,571,802 1,285,901 3,857,704 1,928,852 964,426 482,213 1,446,640 723,320 361,660 180,830 90,415 271,246 135,623 406,870 203,435 610,306 305,153 915,460 457,730 228,865 686,596 343,298 171,649 514,948 257,474 128,737 386,212 193,106 96,553 289,660 144,830 72,415 217,246 108,623 325,870 162,935 488,806 244,403 733,210 366,605

More profiles

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