λ
Sigma Notebook

6,802,010

2 × 5 × 349 × 1949
Deficient Even Composite

6,802,010 is even and not a perfect square. Its factorization is 2 × 5 × 349 × 1949 and its 16 divisors sum to 12,285,000.

Prime Factor Structure

Factorization String 2 × 5 × 349 × 1949
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,285,000
Proper Divisor Sum 5,482,990
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6802001 ← → #6802027

Radix Representation

Decimal 6802010
Binary 11001111100101001011010 (23 bits)
Octal 0o31745132
Hexadecimal 0x67CA5A

Divisor Catalog (16)

1 2 5 10 349 698 1,745 1,949 3,490 3,898 9,745 19,490 680,201 1,360,402 3,401,005 6,802,010

Collatz Trajectory (85 steps to reach 1)

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

6,802,010 3,401,005 10,203,016 5,101,508 2,550,754 1,275,377 3,826,132 1,913,066 956,533 2,869,600 1,434,800 717,400 358,700 179,350 89,675 269,026 134,513 403,540 201,770 100,885 302,656 151,328 75,664 37,832 18,916 9,458 4,729 14,188 7,094 3,547 10,642 5,321 15,964 7,982 3,991 11,974 5,987 17,962 8,981 26,944 13,472 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538 269 808 404 202

More profiles

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