λ
Harmonic Matrix

1,005,741

32 × 11 × 10159
Deficient Odd Composite

1,005,741 has digital root 9. The neighboring primes are 1005709 and 1005751; its proper-divisor sum differs from the starting integer by -426,522.

Prime Factor Structure

Factorization String 3^2 × 11 × 10159
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,584,960
Proper Divisor Sum 579,219
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1005709 ← → #1005751

Radix Representation

Decimal 1005741
Binary 11110101100010101101 (20 bits)
Octal 0o3654255
Hexadecimal 0xF58AD

Divisor Catalog (12)

1 3 9 11 33 99 10,159 30,477 91,431 111,749 335,247 1,005,741

Collatz Trajectory (90 steps to reach 1)

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

1,005,741 3,017,224 1,508,612 754,306 377,153 1,131,460 565,730 282,865 848,596 424,298 212,149 636,448 318,224 159,112 79,556 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179

More profiles

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