λ
Harmonic Matrix

3,065,025

3 × 52 × 40867
Deficient Odd Composite

3,065,025 has digital root 3. The neighboring primes are 3064993 and 3065053; its proper-divisor sum differs from the starting integer by -1,062,418.

Prime Factor Structure

Factorization String 3 × 5^2 × 40867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,067,632
Proper Divisor Sum 2,002,607
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3064993 ← → #3065053

Radix Representation

Decimal 3065025
Binary 1011101100010011000001 (22 bits)
Octal 0o13542301
Hexadecimal 0x2EC4C1

Divisor Catalog (12)

1 3 5 15 25 75 40,867 122,601 204,335 613,005 1,021,675 3,065,025

Collatz Trajectory (226 steps to reach 1)

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

3,065,025 9,195,076 4,597,538 2,298,769 6,896,308 3,448,154 1,724,077 5,172,232 2,586,116 1,293,058 646,529 1,939,588 969,794 484,897 1,454,692 727,346 363,673 1,091,020 545,510 272,755 818,266 409,133 1,227,400 613,700 306,850 153,425 460,276 230,138 115,069 345,208 172,604 86,302 43,151 129,454 64,727 194,182 97,091 291,274 145,637 436,912 218,456 109,228 54,614 27,307 81,922 40,961 122,884 61,442 30,721 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442

More profiles

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