λ
Integer Codex

123,323

123323
Deficient Odd Prime

For 123,323, the 2 positive divisors have a total of 123,324. Removing 123,323 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 123323
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 123,324
Proper Divisor Sum 1
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #123311 ← → #123341

Radix Representation

Decimal 123323
Binary 11110000110111011 (17 bits)
Octal 0o360673
Hexadecimal 0x1E1BB

Divisor Catalog (2)

Collatz Trajectory (74 steps to reach 1)

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

123,323 369,970 184,985 554,956 277,478 138,739 416,218 208,109 624,328 312,164 156,082 78,041 234,124 117,062 58,531 175,594 87,797 263,392 131,696 65,848 32,924 16,462 8,231 24,694 12,347 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792 4,396 2,198 1,099 3,298 1,649 4,948 2,474 1,237 3,712 1,856 928 464 232 116 58 29 88 44 22

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