λ
Sigma Notebook

6,819,010

2 × 5 × 11 × 61991
Deficient Even Composite

6,819,010 is even and not a perfect square. Its factorization is 2 × 5 × 11 × 61991 and its 16 divisors sum to 13,390,272.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 61991
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,390,272
Proper Divisor Sum 6,571,262
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6818993 ← → #6819013

Radix Representation

Decimal 6819010
Binary 11010000000110011000010 (23 bits)
Octal 0o32006302
Hexadecimal 0x680CC2

Divisor Catalog (16)

1 2 5 10 11 22 55 110 61,991 123,982 309,955 619,910 681,901 1,363,802 3,409,505 6,819,010

Collatz Trajectory (253 steps to reach 1)

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

6,819,010 3,409,505 10,228,516 5,114,258 2,557,129 7,671,388 3,835,694 1,917,847 5,753,542 2,876,771 8,630,314 4,315,157 12,945,472 6,472,736 3,236,368 1,618,184 809,092 404,546 202,273 606,820 303,410 151,705 455,116 227,558 113,779 341,338 170,669 512,008 256,004 128,002 64,001 192,004 96,002 48,001 144,004 72,002 36,001 108,004 54,002 27,001 81,004 40,502 20,251 60,754 30,377 91,132 45,566 22,783 68,350 34,175 102,526 51,263 153,790 76,895 230,686 115,343 346,030 173,015 519,046 259,523

More profiles

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