λ
Prime Ledger

5,042,004

22 × 3 × 11 × 38197
Abundant Even Composite

5,042,004 has the prime decomposition 2^2 × 3 × 11 × 38197. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 38197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,834,528
Proper Divisor Sum 7,792,524
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #5041999 ← → #5042029

Radix Representation

Decimal 5042004
Binary 10011001110111101010100 (23 bits)
Octal 0o23167524
Hexadecimal 0x4CEF54

Divisor Catalog (24)

1 2 3 4 6 11 12 22 33 44 66 132 38,197 76,394 114,591 152,788 229,182 420,167 458,364 840,334 1,260,501 1,680,668 2,521,002 5,042,004

Collatz Trajectory (113 steps to reach 1)

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

5,042,004 2,521,002 1,260,501 3,781,504 1,890,752 945,376 472,688 236,344 118,172 59,086 29,543 88,630 44,315 132,946 66,473 199,420 99,710 49,855 149,566 74,783 224,350 112,175 336,526 168,263 504,790 252,395 757,186 378,593 1,135,780 567,890 283,945 851,836 425,918 212,959 638,878 319,439 958,318 479,159 1,437,478 718,739 2,156,218 1,078,109 3,234,328 1,617,164 808,582 404,291 1,212,874 606,437 1,819,312 909,656 454,828 227,414 113,707 341,122 170,561 511,684 255,842 127,921 383,764 191,882

More profiles

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