λ
Integer Codex

8,475,821

8475821
Deficient Odd Prime

For 8,475,821, the 2 positive divisors have a total of 8,475,822. Removing 8,475,821 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 8475821
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,475,822
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8475793 ← → #8475823

Radix Representation

Decimal 8475821
Binary 100000010101010010101101 (24 bits)
Octal 0o40252255
Hexadecimal 0x8154AD

Divisor Catalog (2)

Collatz Trajectory (305 steps to reach 1)

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

8,475,821 25,427,464 12,713,732 6,356,866 3,178,433 9,535,300 4,767,650 2,383,825 7,151,476 3,575,738 1,787,869 5,363,608 2,681,804 1,340,902 670,451 2,011,354 1,005,677 3,017,032 1,508,516 754,258 377,129 1,131,388 565,694 282,847 848,542 424,271 1,272,814 636,407 1,909,222 954,611 2,863,834 1,431,917 4,295,752 2,147,876 1,073,938 536,969 1,610,908 805,454 402,727 1,208,182 604,091 1,812,274 906,137 2,718,412 1,359,206 679,603 2,038,810 1,019,405 3,058,216 1,529,108 764,554 382,277 1,146,832 573,416 286,708 143,354 71,677 215,032 107,516 53,758

More profiles

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