λ
Prime Ledger

3,838,055

5 × 13 × 137 × 431
Deficient Odd Composite

3,838,055 has the prime decomposition 5 × 13 × 137 × 431. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 137 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,007,744
Proper Divisor Sum 1,169,689
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3838027 ← → #3838097

Radix Representation

Decimal 3838055
Binary 1110101001000001100111 (22 bits)
Octal 0o16510147
Hexadecimal 0x3A9067

Divisor Catalog (16)

1 5 13 65 137 431 685 1,781 2,155 5,603 8,905 28,015 59,047 295,235 767,611 3,838,055

Collatz Trajectory (216 steps to reach 1)

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

3,838,055 11,514,166 5,757,083 17,271,250 8,635,625 25,906,876 12,953,438 6,476,719 19,430,158 9,715,079 29,145,238 14,572,619 43,717,858 21,858,929 65,576,788 32,788,394 16,394,197 49,182,592 24,591,296 12,295,648 6,147,824 3,073,912 1,536,956 768,478 384,239 1,152,718 576,359 1,729,078 864,539 2,593,618 1,296,809 3,890,428 1,945,214 972,607 2,917,822 1,458,911 4,376,734 2,188,367 6,565,102 3,282,551 9,847,654 4,923,827 14,771,482 7,385,741 22,157,224 11,078,612 5,539,306 2,769,653 8,308,960 4,154,480 2,077,240 1,038,620 519,310 259,655 778,966 389,483 1,168,450 584,225 1,752,676 876,338

More profiles

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