λ
Prime Ledger

3,084,771

3 × 257 × 4001
Deficient Odd Composite

3,084,771 has the prime decomposition 3 × 257 × 4001. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 257 × 4001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,130,064
Proper Divisor Sum 1,045,293
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3084749 ← → #3084797

Radix Representation

Decimal 3084771
Binary 1011110001000111100011 (22 bits)
Octal 0o13610743
Hexadecimal 0x2F11E3

Divisor Catalog (8)

1 3 257 771 4,001 12,003 1,028,257 3,084,771

Collatz Trajectory (102 steps to reach 1)

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

3,084,771 9,254,314 4,627,157 13,881,472 6,940,736 3,470,368 1,735,184 867,592 433,796 216,898 108,449 325,348 162,674 81,337 244,012 122,006 61,003 183,010 91,505 274,516 137,258 68,629 205,888 102,944 51,472 25,736 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360 2,180 1,090 545

More profiles

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