λ
Harmonic Matrix

3,506,879

17 × 23 × 8969
Deficient Odd Composite

3,506,879 has digital root 2. The neighboring primes are 3506873 and 3506891; its proper-divisor sum differs from the starting integer by -3,138,718.

Prime Factor Structure

Factorization String 17 × 23 × 8969
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,875,040
Proper Divisor Sum 368,161
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3506873 ← → #3506891

Radix Representation

Decimal 3506879
Binary 1101011000001010111111 (22 bits)
Octal 0o15301277
Hexadecimal 0x3582BF

Divisor Catalog (8)

Collatz Trajectory (151 steps to reach 1)

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

3,506,879 10,520,638 5,260,319 15,780,958 7,890,479 23,671,438 11,835,719 35,507,158 17,753,579 53,260,738 26,630,369 79,891,108 39,945,554 19,972,777 59,918,332 29,959,166 14,979,583 44,938,750 22,469,375 67,408,126 33,704,063 101,112,190 50,556,095 151,668,286 75,834,143 227,502,430 113,751,215 341,253,646 170,626,823 511,880,470 255,940,235 767,820,706 383,910,353 1,151,731,060 575,865,530 287,932,765 863,798,296 431,899,148 215,949,574 107,974,787 323,924,362 161,962,181 485,886,544 242,943,272 121,471,636 60,735,818 30,367,909 91,103,728 45,551,864 22,775,932 11,387,966 5,693,983 17,081,950 8,540,975 25,622,926 12,811,463 38,434,390 19,217,195 57,651,586 28,825,793

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