λ
Harmonic Matrix

7,675,105

5 × 1229 × 1249
Deficient Odd Composite

7,675,105 has digital root 4. The neighboring primes are 7675103 and 7675121; its proper-divisor sum differs from the starting integer by -6,125,210.

Prime Factor Structure

Factorization String 5 × 1229 × 1249
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,225,000
Proper Divisor Sum 1,549,895
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7675103 ← → #7675121

Radix Representation

Decimal 7675105
Binary 11101010001110011100001 (23 bits)
Octal 0o35216341
Hexadecimal 0x751CE1

Divisor Catalog (8)

1 5 1,229 1,249 6,145 6,245 1,535,021 7,675,105

Collatz Trajectory (124 steps to reach 1)

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

7,675,105 23,025,316 11,512,658 5,756,329 17,268,988 8,634,494 4,317,247 12,951,742 6,475,871 19,427,614 9,713,807 29,141,422 14,570,711 43,712,134 21,856,067 65,568,202 32,784,101 98,352,304 49,176,152 24,588,076 12,294,038 6,147,019 18,441,058 9,220,529 27,661,588 13,830,794 6,915,397 20,746,192 10,373,096 5,186,548 2,593,274 1,296,637 3,889,912 1,944,956 972,478 486,239 1,458,718 729,359 2,188,078 1,094,039 3,282,118 1,641,059 4,923,178 2,461,589 7,384,768 3,692,384 1,846,192 923,096 461,548 230,774 115,387 346,162 173,081 519,244 259,622 129,811 389,434 194,717 584,152 292,076

More profiles

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