λ
Zalai Atlas

5,293,104

24 × 3 × 110273
Abundant Even Composite

5,293,104 has the prime decomposition 2^4 × 3 × 110273. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 110273
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,673,976
Proper Divisor Sum 8,380,872
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5293087 ← → #5293117

Radix Representation

Decimal 5293104
Binary 10100001100010000110000 (23 bits)
Octal 0o24142060
Hexadecimal 0x50C430

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 110,273 220,546 330,819 441,092 661,638 882,184 1,323,276 1,764,368 2,646,552 5,293,104

Collatz Trajectory (64 steps to reach 1)

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

5,293,104 2,646,552 1,323,276 661,638 330,819 992,458 496,229 1,488,688 744,344 372,172 186,086 93,043 279,130 139,565 418,696 209,348 104,674 52,337 157,012 78,506 39,253 117,760 58,880 29,440 14,720 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5

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