λ
Prime Ledger

3,842,578

2 × 17 × 113017
Deficient Even Composite

3,842,578 has the prime decomposition 2 × 17 × 113017. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 113017
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,102,972
Proper Divisor Sum 2,260,394
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3842569 ← → #3842599

Radix Representation

Decimal 3842578
Binary 1110101010001000010010 (22 bits)
Octal 0o16521022
Hexadecimal 0x3AA212

Divisor Catalog (8)

1 2 17 34 113,017 226,034 1,921,289 3,842,578

Collatz Trajectory (110 steps to reach 1)

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

3,842,578 1,921,289 5,763,868 2,881,934 1,440,967 4,322,902 2,161,451 6,484,354 3,242,177 9,726,532 4,863,266 2,431,633 7,294,900 3,647,450 1,823,725 5,471,176 2,735,588 1,367,794 683,897 2,051,692 1,025,846 512,923 1,538,770 769,385 2,308,156 1,154,078 577,039 1,731,118 865,559 2,596,678 1,298,339 3,895,018 1,947,509 5,842,528 2,921,264 1,460,632 730,316 365,158 182,579 547,738 273,869 821,608 410,804 205,402 102,701 308,104 154,052 77,026 38,513 115,540 57,770 28,885 86,656 43,328 21,664 10,832 5,416 2,708 1,354 677

More profiles

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