λ
Harmonic Matrix

1,469,793

3 × 133 × 223
Deficient Odd Composite

1,469,793 has digital root 3. The neighboring primes are 1469777 and 1469801; its proper-divisor sum differs from the starting integer by -807,106.

Prime Factor Structure

Factorization String 3 × 13^3 × 223
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,132,480
Proper Divisor Sum 662,687
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1469777 ← → #1469801

Radix Representation

Decimal 1469793
Binary 101100110110101100001 (21 bits)
Octal 0o5466541
Hexadecimal 0x166D61

Divisor Catalog (16)

1 3 13 39 169 223 507 669 2,197 2,899 6,591 8,697 37,687 113,061 489,931 1,469,793

Collatz Trajectory (137 steps to reach 1)

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

1,469,793 4,409,380 2,204,690 1,102,345 3,307,036 1,653,518 826,759 2,480,278 1,240,139 3,720,418 1,860,209 5,580,628 2,790,314 1,395,157 4,185,472 2,092,736 1,046,368 523,184 261,592 130,796 65,398 32,699 98,098 49,049 147,148 73,574 36,787 110,362 55,181 165,544 82,772 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

More profiles

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