λ
Harmonic Matrix

7,182,614

2 × 173 × 20759
Deficient Even Composite

7,182,614 has digital root 2. The neighboring primes are 7182583 and 7182629; its proper-divisor sum differs from the starting integer by -3,528,508.

Prime Factor Structure

Factorization String 2 × 173 × 20759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,836,720
Proper Divisor Sum 3,654,106
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7182583 ← → #7182629

Radix Representation

Decimal 7182614
Binary 11011011001100100010110 (23 bits)
Octal 0o33314426
Hexadecimal 0x6D9916

Divisor Catalog (8)

1 2 173 346 20,759 41,518 3,591,307 7,182,614

Collatz Trajectory (235 steps to reach 1)

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

7,182,614 3,591,307 10,773,922 5,386,961 16,160,884 8,080,442 4,040,221 12,120,664 6,060,332 3,030,166 1,515,083 4,545,250 2,272,625 6,817,876 3,408,938 1,704,469 5,113,408 2,556,704 1,278,352 639,176 319,588 159,794 79,897 239,692 119,846 59,923 179,770 89,885 269,656 134,828 67,414 33,707 101,122 50,561 151,684 75,842 37,921 113,764 56,882 28,441 85,324 42,662 21,331 63,994 31,997 95,992 47,996 23,998 11,999 35,998 17,999 53,998 26,999 80,998 40,499 121,498 60,749 182,248 91,124 45,562

More profiles

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