λ
Harmonic Matrix

2,386,789

2386789
Deficient Odd Prime

2,386,789 has digital root 7. The neighboring primes are 2386781 and 2386793; its proper-divisor sum differs from the starting integer by -2,386,788.

Prime Factor Structure

Factorization String 2386789
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,386,790
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #2386781 ← → #2386793

Radix Representation

Decimal 2386789
Binary 1001000110101101100101 (22 bits)
Octal 0o11065545
Hexadecimal 0x246B65

Divisor Catalog (2)

Collatz Trajectory (161 steps to reach 1)

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

2,386,789 7,160,368 3,580,184 1,790,092 895,046 447,523 1,342,570 671,285 2,013,856 1,006,928 503,464 251,732 125,866 62,933 188,800 94,400 47,200 23,600 11,800 5,900 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71

More profiles

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