λ
Harmonic Matrix

3,783,769

11 × 61 × 5639
Deficient Odd Composite

3,783,769 has digital root 7. The neighboring primes are 3783739 and 3783797; its proper-divisor sum differs from the starting integer by -3,371,378.

Prime Factor Structure

Factorization String 11 × 61 × 5639
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,196,160
Proper Divisor Sum 412,391
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3783739 ← → #3783797

Radix Representation

Decimal 3783769
Binary 1110011011110001011001 (22 bits)
Octal 0o16336131
Hexadecimal 0x39BC59

Divisor Catalog (8)

1 11 61 671 5,639 62,029 343,979 3,783,769

Collatz Trajectory (203 steps to reach 1)

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

3,783,769 11,351,308 5,675,654 2,837,827 8,513,482 4,256,741 12,770,224 6,385,112 3,192,556 1,596,278 798,139 2,394,418 1,197,209 3,591,628 1,795,814 897,907 2,693,722 1,346,861 4,040,584 2,020,292 1,010,146 505,073 1,515,220 757,610 378,805 1,136,416 568,208 284,104 142,052 71,026 35,513 106,540 53,270 26,635 79,906 39,953 119,860 59,930 29,965 89,896 44,948 22,474 11,237 33,712 16,856 8,428 4,214 2,107 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667

More profiles

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