1,821,721

11 × 165611

For 1,821,721, the 4 positive divisors have a total of 1,987,344. Removing 1,821,721 leaves 165,623, which gives the deficient classification.

Prime Factor Structure

Factorization String 11 × 165611

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,987,344

Proper Divisor Sum 165,623

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1821713 ← → #1821731

Radix Representation

Decimal	1821721
Binary	110111100110000011001 (21 bits)
Octal	0o6746031
Hexadecimal	0x1BCC19

Divisor Catalog (4)

1 11 165,611 1,821,721

Collatz Trajectory (202 steps to reach 1)

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

1,821,721 5,465,164 2,732,582 1,366,291 4,098,874 2,049,437 6,148,312 3,074,156 1,537,078 768,539 2,305,618 1,152,809 3,458,428 1,729,214 864,607 2,593,822 1,296,911 3,890,734 1,945,367 5,836,102 2,918,051 8,754,154 4,377,077 13,131,232 6,565,616 3,282,808 1,641,404 820,702 410,351 1,231,054 615,527 1,846,582 923,291 2,769,874 1,384,937 4,154,812 2,077,406 1,038,703 3,116,110 1,558,055 4,674,166 2,337,083 7,011,250 3,505,625 10,516,876 5,258,438 2,629,219 7,887,658 3,943,829 11,831,488 5,915,744 2,957,872 1,478,936 739,468 369,734 184,867 554,602 277,301 831,904 415,952

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