λ
Harmonic Matrix

2,097,449

2097449
Deficient Odd Prime

2,097,449 has digital root 8. The neighboring primes are 2097427 and 2097451; its proper-divisor sum differs from the starting integer by -2,097,448.

Prime Factor Structure

Factorization String 2097449
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,097,450
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2097427 ← → #2097451

Radix Representation

Decimal 2097449
Binary 1000000000000100101001 (22 bits)
Octal 0o10000451
Hexadecimal 0x200129

Divisor Catalog (2)

Collatz Trajectory (228 steps to reach 1)

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

2,097,449 6,292,348 3,146,174 1,573,087 4,719,262 2,359,631 7,078,894 3,539,447 10,618,342 5,309,171 15,927,514 7,963,757 23,891,272 11,945,636 5,972,818 2,986,409 8,959,228 4,479,614 2,239,807 6,719,422 3,359,711 10,079,134 5,039,567 15,118,702 7,559,351 22,678,054 11,339,027 34,017,082 17,008,541 51,025,624 25,512,812 12,756,406 6,378,203 19,134,610 9,567,305 28,701,916 14,350,958 7,175,479 21,526,438 10,763,219 32,289,658 16,144,829 48,434,488 24,217,244 12,108,622 6,054,311 18,162,934 9,081,467 27,244,402 13,622,201 40,866,604 20,433,302 10,216,651 30,649,954 15,324,977 45,974,932 22,987,466 11,493,733 34,481,200 17,240,600

More profiles

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