λ
Sigma Notebook

3,311,006

2 × 67 × 24709
Deficient Even Composite

3,311,006 is even and not a perfect square. Its factorization is 2 × 67 × 24709 and its 8 divisors sum to 5,040,840.

Prime Factor Structure

Factorization String 2 × 67 × 24709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,040,840
Proper Divisor Sum 1,729,834
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3310999 ← → #3311027

Radix Representation

Decimal 3311006
Binary 1100101000010110011110 (22 bits)
Octal 0o14502636
Hexadecimal 0x32859E

Divisor Catalog (8)

1 2 67 134 24,709 49,418 1,655,503 3,311,006

Collatz Trajectory (89 steps to reach 1)

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

3,311,006 1,655,503 4,966,510 2,483,255 7,449,766 3,724,883 11,174,650 5,587,325 16,761,976 8,380,988 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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