λ
Integer Codex

4,323,204

22 × 32 × 29 × 41 × 101
Abundant Even Composite

For 4,323,204, the 72 positive divisors have a total of 11,695,320. Removing 4,323,204 leaves 7,372,116, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 29 × 41 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 11,695,320
Proper Divisor Sum 7,372,116
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4323199 ← → #4323217

Radix Representation

Decimal 4323204
Binary 10000011111011110000100 (23 bits)
Octal 0o20373604
Hexadecimal 0x41F784

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 29 36 41 58 82 87 101 116 123 164 174 202 246 261 303 348 369 404 492 522 606 738 909 1,044 1,189 1,212 1,476 1,818 2,378 2,929 3,567 3,636 4,141 4,756 5,858 7,134 8,282 8,787 10,701 11,716 12,423 14,268 16,564 17,574 21,402 24,846 26,361 35,148 37,269 42,804 49,692 52,722

Collatz Trajectory (198 steps to reach 1)

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

4,323,204 2,161,602 1,080,801 3,242,404 1,621,202 810,601 2,431,804 1,215,902 607,951 1,823,854 911,927 2,735,782 1,367,891 4,103,674 2,051,837 6,155,512 3,077,756 1,538,878 769,439 2,308,318 1,154,159 3,462,478 1,731,239 5,193,718 2,596,859 7,790,578 3,895,289 11,685,868 5,842,934 2,921,467 8,764,402 4,382,201 13,146,604 6,573,302 3,286,651 9,859,954 4,929,977 14,789,932 7,394,966 3,697,483 11,092,450 5,546,225 16,638,676 8,319,338 4,159,669 12,479,008 6,239,504 3,119,752 1,559,876 779,938 389,969 1,169,908 584,954 292,477 877,432 438,716 219,358 109,679 329,038 164,519

More profiles

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