λ
Sigma Notebook

2,028,315

3 × 5 × 135221
Deficient Odd Composite

2,028,315 is odd and not a perfect square. Its factorization is 3 × 5 × 135221 and its 8 divisors sum to 3,245,328.

Prime Factor Structure

Factorization String 3 × 5 × 135221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,245,328
Proper Divisor Sum 1,217,013
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2028293 ← → #2028319

Radix Representation

Decimal 2028315
Binary 111101111001100011011 (21 bits)
Octal 0o7571433
Hexadecimal 0x1EF31B

Divisor Catalog (8)

1 3 5 15 135,221 405,663 676,105 2,028,315

Collatz Trajectory (272 steps to reach 1)

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

2,028,315 6,084,946 3,042,473 9,127,420 4,563,710 2,281,855 6,845,566 3,422,783 10,268,350 5,134,175 15,402,526 7,701,263 23,103,790 11,551,895 34,655,686 17,327,843 51,983,530 25,991,765 77,975,296 38,987,648 19,493,824 9,746,912 4,873,456 2,436,728 1,218,364 609,182 304,591 913,774 456,887 1,370,662 685,331 2,055,994 1,027,997 3,083,992 1,541,996 770,998 385,499 1,156,498 578,249 1,734,748 867,374 433,687 1,301,062 650,531 1,951,594 975,797 2,927,392 1,463,696 731,848 365,924 182,962 91,481 274,444 137,222 68,611 205,834 102,917 308,752 154,376 77,188

More profiles

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