λ
Harmonic Matrix

3,102,849

32 × 307 × 1123
Deficient Odd Composite

3,102,849 has digital root 9. The neighboring primes are 3102829 and 3102851; its proper-divisor sum differs from the starting integer by -1,705,202.

Prime Factor Structure

Factorization String 3^2 × 307 × 1123
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,500,496
Proper Divisor Sum 1,397,647
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3102829 ← → #3102851

Radix Representation

Decimal 3102849
Binary 1011110101100010000001 (22 bits)
Octal 0o13654201
Hexadecimal 0x2F5881

Divisor Catalog (12)

1 3 9 307 921 1,123 2,763 3,369 10,107 344,761 1,034,283 3,102,849

Collatz Trajectory (164 steps to reach 1)

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

3,102,849 9,308,548 4,654,274 2,327,137 6,981,412 3,490,706 1,745,353 5,236,060 2,618,030 1,309,015 3,927,046 1,963,523 5,890,570 2,945,285 8,835,856 4,417,928 2,208,964 1,104,482 552,241 1,656,724 828,362 414,181 1,242,544 621,272 310,636 155,318 77,659 232,978 116,489 349,468 174,734 87,367 262,102 131,051 393,154 196,577 589,732 294,866 147,433 442,300 221,150 110,575 331,726 165,863 497,590 248,795 746,386 373,193 1,119,580 559,790 279,895 839,686 419,843 1,259,530 629,765 1,889,296 944,648 472,324 236,162 118,081

More profiles

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