λ
Harmonic Matrix

6,704,173

7 × 43 × 22273
Deficient Odd Composite

6,704,173 has digital root 1. The neighboring primes are 6704161 and 6704179; its proper-divisor sum differs from the starting integer by -5,567,898.

Prime Factor Structure

Factorization String 7 × 43 × 22273
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,840,448
Proper Divisor Sum 1,136,275
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #6704161 ← → #6704179

Radix Representation

Decimal 6704173
Binary 11001100100110000101101 (23 bits)
Octal 0o31446055
Hexadecimal 0x664C2D

Divisor Catalog (8)

1 7 43 301 22,273 155,911 957,739 6,704,173

Collatz Trajectory (134 steps to reach 1)

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

6,704,173 20,112,520 10,056,260 5,028,130 2,514,065 7,542,196 3,771,098 1,885,549 5,656,648 2,828,324 1,414,162 707,081 2,121,244 1,060,622 530,311 1,590,934 795,467 2,386,402 1,193,201 3,579,604 1,789,802 894,901 2,684,704 1,342,352 671,176 335,588 167,794 83,897 251,692 125,846 62,923 188,770 94,385 283,156 141,578 70,789 212,368 106,184 53,092 26,546 13,273 39,820 19,910 9,955 29,866 14,933 44,800 22,400 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186

More profiles

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