λ
Sigma Notebook

3,882,876

22 × 3 × 223 × 1451
Abundant Even Composite

3,882,876 is even and not a perfect square. Its factorization is 2^2 × 3 × 223 × 1451 and its 24 divisors sum to 9,106,944.

Prime Factor Structure

Factorization String 2^2 × 3 × 223 × 1451
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,106,944
Proper Divisor Sum 5,224,068
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #3882871 ← → #3882877

Radix Representation

Decimal 3882876
Binary 1110110011111101111100 (22 bits)
Octal 0o16637574
Hexadecimal 0x3B3F7C

Divisor Catalog (24)

1 2 3 4 6 12 223 446 669 892 1,338 1,451 2,676 2,902 4,353 5,804 8,706 17,412 323,573 647,146 970,719 1,294,292 1,941,438 3,882,876

Collatz Trajectory (97 steps to reach 1)

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

3,882,876 1,941,438 970,719 2,912,158 1,456,079 4,368,238 2,184,119 6,552,358 3,276,179 9,828,538 4,914,269 14,742,808 7,371,404 3,685,702 1,842,851 5,528,554 2,764,277 8,292,832 4,146,416 2,073,208 1,036,604 518,302 259,151 777,454 388,727 1,166,182 583,091 1,749,274 874,637 2,623,912 1,311,956 655,978 327,989 983,968 491,984 245,992 122,996 61,498 30,749 92,248 46,124 23,062 11,531 34,594 17,297 51,892 25,946 12,973 38,920 19,460 9,730 4,865 14,596 7,298 3,649 10,948 5,474 2,737 8,212 4,106

More profiles

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