λ
Integer Codex

3,311,004

22 × 3 × 275917
Abundant Even Composite

For 3,311,004, the 12 positive divisors have a total of 7,725,704. Removing 3,311,004 leaves 4,414,700, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3 × 275917
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,725,704
Proper Divisor Sum 4,414,700
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3310999 ← → #3311027

Radix Representation

Decimal 3311004
Binary 1100101000010110011100 (22 bits)
Octal 0o14502634
Hexadecimal 0x32859C

Divisor Catalog (12)

1 2 3 4 6 12 275,917 551,834 827,751 1,103,668 1,655,502 3,311,004

Collatz Trajectory (89 steps to reach 1)

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

3,311,004 1,655,502 827,751 2,483,254 1,241,627 3,724,882 1,862,441 5,587,324 2,793,662 1,396,831 4,190,494 2,095,247 6,285,742 3,142,871 9,428,614 4,714,307 14,142,922 7,071,461 21,214,384 10,607,192 5,303,596 2,651,798 1,325,899 3,977,698 1,988,849 5,966,548 2,983,274 1,491,637 4,474,912 2,237,456 1,118,728 559,364 279,682 139,841 419,524 209,762 104,881 314,644 157,322 78,661 235,984 117,992 58,996 29,498 14,749 44,248 22,124 11,062 5,531 16,594 8,297 24,892 12,446 6,223 18,670 9,335 28,006 14,003 42,010 21,005

More profiles

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