λ
Harmonic Matrix

9,825,069

3 × 3275023
Deficient Odd Composite

9,825,069 has digital root 3. The neighboring primes are 9825037 and 9825107; its proper-divisor sum differs from the starting integer by -6,550,042.

Prime Factor Structure

Factorization String 3 × 3275023
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 13,100,096
Proper Divisor Sum 3,275,027
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9825037 ← → #9825107

Radix Representation

Decimal 9825069
Binary 100101011110101100101101 (24 bits)
Octal 0o45365455
Hexadecimal 0x95EB2D

Divisor Catalog (4)

1 3 3,275,023 9,825,069

Collatz Trajectory (145 steps to reach 1)

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

9,825,069 29,475,208 14,737,604 7,368,802 3,684,401 11,053,204 5,526,602 2,763,301 8,289,904 4,144,952 2,072,476 1,036,238 518,119 1,554,358 777,179 2,331,538 1,165,769 3,497,308 1,748,654 874,327 2,622,982 1,311,491 3,934,474 1,967,237 5,901,712 2,950,856 1,475,428 737,714 368,857 1,106,572 553,286 276,643 829,930 414,965 1,244,896 622,448 311,224 155,612 77,806 38,903 116,710 58,355 175,066 87,533 262,600 131,300 65,650 32,825 98,476 49,238 24,619 73,858 36,929 110,788 55,394 27,697 83,092 41,546 20,773 62,320

More profiles

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