λ
Harmonic Matrix

7,125,185

5 × 41 × 34757
Deficient Odd Composite

7,125,185 has digital root 2. The neighboring primes are 7125169 and 7125187; its proper-divisor sum differs from the starting integer by -5,491,354.

Prime Factor Structure

Factorization String 5 × 41 × 34757
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,759,016
Proper Divisor Sum 1,633,831
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7125169 ← → #7125187

Radix Representation

Decimal 7125185
Binary 11011001011100011000001 (23 bits)
Octal 0o33134301
Hexadecimal 0x6CB8C1

Divisor Catalog (8)

1 5 41 205 34,757 173,785 1,425,037 7,125,185

Collatz Trajectory (173 steps to reach 1)

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

7,125,185 21,375,556 10,687,778 5,343,889 16,031,668 8,015,834 4,007,917 12,023,752 6,011,876 3,005,938 1,502,969 4,508,908 2,254,454 1,127,227 3,381,682 1,690,841 5,072,524 2,536,262 1,268,131 3,804,394 1,902,197 5,706,592 2,853,296 1,426,648 713,324 356,662 178,331 534,994 267,497 802,492 401,246 200,623 601,870 300,935 902,806 451,403 1,354,210 677,105 2,031,316 1,015,658 507,829 1,523,488 761,744 380,872 190,436 95,218 47,609 142,828 71,414 35,707 107,122 53,561 160,684 80,342 40,171 120,514 60,257 180,772 90,386 45,193

More profiles

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