λ
Harmonic Matrix

1,594,725

3 × 52 × 11 × 1933
Deficient Odd Composite

1,594,725 has digital root 6. The neighboring primes are 1594721 and 1594729; its proper-divisor sum differs from the starting integer by -311,658.

Prime Factor Structure

Factorization String 3 × 5^2 × 11 × 1933
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,877,792
Proper Divisor Sum 1,283,067
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1594721 ← → #1594729

Radix Representation

Decimal 1594725
Binary 110000101010101100101 (21 bits)
Octal 0o6052545
Hexadecimal 0x185565

Divisor Catalog (24)

1 3 5 11 15 25 33 55 75 165 275 825 1,933 5,799 9,665 21,263 28,995 48,325 63,789 106,315 144,975 318,945 531,575 1,594,725

Collatz Trajectory (163 steps to reach 1)

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

1,594,725 4,784,176 2,392,088 1,196,044 598,022 299,011 897,034 448,517 1,345,552 672,776 336,388 168,194 84,097 252,292 126,146 63,073 189,220 94,610 47,305 141,916 70,958 35,479 106,438 53,219 159,658 79,829 239,488 119,744 59,872 29,936 14,968 7,484 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47

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