λ
Integer Codex

2,822,093

2822093
Deficient Odd Prime

For 2,822,093, the 2 positive divisors have a total of 2,822,094. Removing 2,822,093 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 2822093
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,822,094
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #2822069 ← → #2822129

Radix Representation

Decimal 2822093
Binary 1010110000111111001101 (22 bits)
Octal 0o12607715
Hexadecimal 0x2B0FCD

Divisor Catalog (2)

1 2,822,093

Collatz Trajectory (151 steps to reach 1)

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

2,822,093 8,466,280 4,233,140 2,116,570 1,058,285 3,174,856 1,587,428 793,714 396,857 1,190,572 595,286 297,643 892,930 446,465 1,339,396 669,698 334,849 1,004,548 502,274 251,137 753,412 376,706 188,353 565,060 282,530 141,265 423,796 211,898 105,949 317,848 158,924 79,462 39,731 119,194 59,597 178,792 89,396 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908

More profiles

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