λ
Harmonic Matrix

3,065,925

3 × 52 × 40879
Deficient Odd Composite

3,065,925 has digital root 3. The neighboring primes are 3065917 and 3065929; its proper-divisor sum differs from the starting integer by -1,062,730.

Prime Factor Structure

Factorization String 3 × 5^2 × 40879
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,069,120
Proper Divisor Sum 2,003,195
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3065917 ← → #3065929

Radix Representation

Decimal 3065925
Binary 1011101100100001000101 (22 bits)
Octal 0o13544105
Hexadecimal 0x2EC845

Divisor Catalog (12)

1 3 5 15 25 75 40,879 122,637 204,395 613,185 1,021,975 3,065,925

Collatz Trajectory (151 steps to reach 1)

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

3,065,925 9,197,776 4,598,888 2,299,444 1,149,722 574,861 1,724,584 862,292 431,146 215,573 646,720 323,360 161,680 80,840 40,420 20,210 10,105 30,316 15,158 7,579 22,738 11,369 34,108 17,054 8,527 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453

More profiles

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