λ
Prime Ledger

4,106,052

22 × 34 × 19 × 23 × 29
Abundant Even Composite

4,106,052 has the prime decomposition 2^2 × 3^4 × 19 × 23 × 29. Its 5 distinct prime factors produce 120 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^4 × 19 × 23 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 12,196,800
Proper Divisor Sum 8,090,748
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #4106041 ← → #4106057

Radix Representation

Decimal 4106052
Binary 1111101010011101000100 (22 bits)
Octal 0o17523504
Hexadecimal 0x3EA744

Divisor Catalog (60 of 120)

1 2 3 4 6 9 12 18 19 23 27 29 36 38 46 54 57 58 69 76 81 87 92 108 114 116 138 162 171 174 207 228 261 276 324 342 348 414 437 513 522 551 621 667 684 783 828 874 1,026 1,044 1,102 1,242 1,311 1,334 1,539 1,566 1,653 1,748 1,863 2,001

Collatz Trajectory (167 steps to reach 1)

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

4,106,052 2,053,026 1,026,513 3,079,540 1,539,770 769,885 2,309,656 1,154,828 577,414 288,707 866,122 433,061 1,299,184 649,592 324,796 162,398 81,199 243,598 121,799 365,398 182,699 548,098 274,049 822,148 411,074 205,537 616,612 308,306 154,153 462,460 231,230 115,615 346,846 173,423 520,270 260,135 780,406 390,203 1,170,610 585,305 1,755,916 877,958 438,979 1,316,938 658,469 1,975,408 987,704 493,852 246,926 123,463 370,390 185,195 555,586 277,793 833,380 416,690 208,345 625,036 312,518 156,259

More profiles

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