λ
Prime Ledger

3,080,974

2 × 13 × 71 × 1669
Deficient Even Composite

3,080,974 has the prime decomposition 2 × 13 × 71 × 1669. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 71 × 1669
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,050,080
Proper Divisor Sum 1,969,106
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3080971 ← → #3080981

Radix Representation

Decimal 3080974
Binary 1011110000001100001110 (22 bits)
Octal 0o13601416
Hexadecimal 0x2F030E

Divisor Catalog (16)

1 2 13 26 71 142 923 1,669 1,846 3,338 21,697 43,394 118,499 236,998 1,540,487 3,080,974

Collatz Trajectory (226 steps to reach 1)

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

3,080,974 1,540,487 4,621,462 2,310,731 6,932,194 3,466,097 10,398,292 5,199,146 2,599,573 7,798,720 3,899,360 1,949,680 974,840 487,420 243,710 121,855 365,566 182,783 548,350 274,175 822,526 411,263 1,233,790 616,895 1,850,686 925,343 2,776,030 1,388,015 4,164,046 2,082,023 6,246,070 3,123,035 9,369,106 4,684,553 14,053,660 7,026,830 3,513,415 10,540,246 5,270,123 15,810,370 7,905,185 23,715,556 11,857,778 5,928,889 17,786,668 8,893,334 4,446,667 13,340,002 6,670,001 20,010,004 10,005,002 5,002,501 15,007,504 7,503,752 3,751,876 1,875,938 937,969 2,813,908 1,406,954 703,477

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