λ
Integer Codex

873,109

873109
Deficient Odd Prime

For 873,109, the 2 positive divisors have a total of 873,110. Removing 873,109 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 873109
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 873,110
Proper Divisor Sum 1
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #873091 ← → #873113

Radix Representation

Decimal 873109
Binary 11010101001010010101 (20 bits)
Octal 0o3251225
Hexadecimal 0xD5295

Divisor Catalog (2)

Collatz Trajectory (144 steps to reach 1)

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

873,109 2,619,328 1,309,664 654,832 327,416 163,708 81,854 40,927 122,782 61,391 184,174 92,087 276,262 138,131 414,394 207,197 621,592 310,796 155,398 77,699 233,098 116,549 349,648 174,824 87,412 43,706 21,853 65,560 32,780 16,390 8,195 24,586 12,293 36,880 18,440 9,220 4,610 2,305 6,916 3,458 1,729 5,188 2,594 1,297 3,892 1,946 973 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155

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