λ
Integer Codex

1,223,323

1223323
Deficient Odd Prime

For 1,223,323, the 2 positive divisors have a total of 1,223,324. Removing 1,223,323 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 1223323
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,223,324
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #1223311 ← → #1223329

Radix Representation

Decimal 1223323
Binary 100101010101010011011 (21 bits)
Octal 0o4525233
Hexadecimal 0x12AA9B

Divisor Catalog (2)

Collatz Trajectory (142 steps to reach 1)

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

1,223,323 3,669,970 1,834,985 5,504,956 2,752,478 1,376,239 4,128,718 2,064,359 6,193,078 3,096,539 9,289,618 4,644,809 13,934,428 6,967,214 3,483,607 10,450,822 5,225,411 15,676,234 7,838,117 23,514,352 11,757,176 5,878,588 2,939,294 1,469,647 4,408,942 2,204,471 6,613,414 3,306,707 9,920,122 4,960,061 14,880,184 7,440,092 3,720,046 1,860,023 5,580,070 2,790,035 8,370,106 4,185,053 12,555,160 6,277,580 3,138,790 1,569,395 4,708,186 2,354,093 7,062,280 3,531,140 1,765,570 882,785 2,648,356 1,324,178 662,089 1,986,268 993,134 496,567 1,489,702 744,851 2,234,554 1,117,277 3,351,832 1,675,916

More profiles

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