λ
Harmonic Matrix

945,129

3 × 311 × 1013
Deficient Odd Composite

945,129 has digital root 3. The neighboring primes are 945103 and 945143; its proper-divisor sum differs from the starting integer by -624,786.

Prime Factor Structure

Factorization String 3 × 311 × 1013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,265,472
Proper Divisor Sum 320,343
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #945103 ← → #945143

Radix Representation

Decimal 945129
Binary 11100110101111101001 (20 bits)
Octal 0o3465751
Hexadecimal 0xE6BE9

Divisor Catalog (8)

1 3 311 933 1,013 3,039 315,043 945,129

Collatz Trajectory (152 steps to reach 1)

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

945,129 2,835,388 1,417,694 708,847 2,126,542 1,063,271 3,189,814 1,594,907 4,784,722 2,392,361 7,177,084 3,588,542 1,794,271 5,382,814 2,691,407 8,074,222 4,037,111 12,111,334 6,055,667 18,167,002 9,083,501 27,250,504 13,625,252 6,812,626 3,406,313 10,218,940 5,109,470 2,554,735 7,664,206 3,832,103 11,496,310 5,748,155 17,244,466 8,622,233 25,866,700 12,933,350 6,466,675 19,400,026 9,700,013 29,100,040 14,550,020 7,275,010 3,637,505 10,912,516 5,456,258 2,728,129 8,184,388 4,092,194 2,046,097 6,138,292 3,069,146 1,534,573 4,603,720 2,301,860 1,150,930 575,465 1,726,396 863,198 431,599 1,294,798

More profiles

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