λ
Integer Codex

822,389

822389
Deficient Odd Prime

For 822,389, the 2 positive divisors have a total of 822,390. Removing 822,389 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 822389
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 822,390
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #822383 ← → #822391

Radix Representation

Decimal 822389
Binary 11001000110001110101 (20 bits)
Octal 0o3106165
Hexadecimal 0xC8C75

Divisor Catalog (2)

Collatz Trajectory (56 steps to reach 1)

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

822,389 2,467,168 1,233,584 616,792 308,396 154,198 77,099 231,298 115,649 346,948 173,474 86,737 260,212 130,106 65,053 195,160 97,580 48,790 24,395 73,186 36,593 109,780 54,890 27,445 82,336 41,168 20,584 10,292 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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