λ
Prime Ledger

3,719,619

32 × 71 × 5821
Deficient Odd Composite

3,719,619 has the prime decomposition 3^2 × 71 × 5821. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 71 × 5821
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,449,392
Proper Divisor Sum 1,729,773
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3719587 ← → #3719623

Radix Representation

Decimal 3719619
Binary 1110001100000111000011 (22 bits)
Octal 0o16140703
Hexadecimal 0x38C1C3

Divisor Catalog (12)

1 3 9 71 213 639 5,821 17,463 52,389 413,291 1,239,873 3,719,619

Collatz Trajectory (265 steps to reach 1)

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

3,719,619 11,158,858 5,579,429 16,738,288 8,369,144 4,184,572 2,092,286 1,046,143 3,138,430 1,569,215 4,707,646 2,353,823 7,061,470 3,530,735 10,592,206 5,296,103 15,888,310 7,944,155 23,832,466 11,916,233 35,748,700 17,874,350 8,937,175 26,811,526 13,405,763 40,217,290 20,108,645 60,325,936 30,162,968 15,081,484 7,540,742 3,770,371 11,311,114 5,655,557 16,966,672 8,483,336 4,241,668 2,120,834 1,060,417 3,181,252 1,590,626 795,313 2,385,940 1,192,970 596,485 1,789,456 894,728 447,364 223,682 111,841 335,524 167,762 83,881 251,644 125,822 62,911 188,734 94,367 283,102 141,551

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