λ
Sigma Notebook

2,039,565

3 × 5 × 11 × 47 × 263
Deficient Odd Composite

2,039,565 is odd and not a perfect square. Its factorization is 3 × 5 × 11 × 47 × 263 and its 32 divisors sum to 3,649,536.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 47 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,649,536
Proper Divisor Sum 1,609,971
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2039561 ← → #2039567

Radix Representation

Decimal 2039565
Binary 111110001111100001101 (21 bits)
Octal 0o7617415
Hexadecimal 0x1F1F0D

Divisor Catalog (32)

1 3 5 11 15 33 47 55 141 165 235 263 517 705 789 1,315 1,551 2,585 2,893 3,945 7,755 8,679 12,361 14,465 37,083 43,395 61,805 135,971 185,415 407,913 679,855 2,039,565

Collatz Trajectory (197 steps to reach 1)

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

2,039,565 6,118,696 3,059,348 1,529,674 764,837 2,294,512 1,147,256 573,628 286,814 143,407 430,222 215,111 645,334 322,667 968,002 484,001 1,452,004 726,002 363,001 1,089,004 544,502 272,251 816,754 408,377 1,225,132 612,566 306,283 918,850 459,425 1,378,276 689,138 344,569 1,033,708 516,854 258,427 775,282 387,641 1,162,924 581,462 290,731 872,194 436,097 1,308,292 654,146 327,073 981,220 490,610 245,305 735,916 367,958 183,979 551,938 275,969 827,908 413,954 206,977 620,932 310,466 155,233 465,700

More profiles

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