λ
Zalai Atlas

6,739,374

2 × 3 × 53 × 21193
Abundant Even Composite

6,739,374 has the prime decomposition 2 × 3 × 53 × 21193. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 21193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,733,712
Proper Divisor Sum 6,994,338
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6739373 ← → #6739387

Radix Representation

Decimal 6739374
Binary 11001101101010110101110 (23 bits)
Octal 0o31552656
Hexadecimal 0x66D5AE

Divisor Catalog (16)

1 2 3 6 53 106 159 318 21,193 42,386 63,579 127,158 1,123,229 2,246,458 3,369,687 6,739,374

Collatz Trajectory (191 steps to reach 1)

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

6,739,374 3,369,687 10,109,062 5,054,531 15,163,594 7,581,797 22,745,392 11,372,696 5,686,348 2,843,174 1,421,587 4,264,762 2,132,381 6,397,144 3,198,572 1,599,286 799,643 2,398,930 1,199,465 3,598,396 1,799,198 899,599 2,698,798 1,349,399 4,048,198 2,024,099 6,072,298 3,036,149 9,108,448 4,554,224 2,277,112 1,138,556 569,278 284,639 853,918 426,959 1,280,878 640,439 1,921,318 960,659 2,881,978 1,440,989 4,322,968 2,161,484 1,080,742 540,371 1,621,114 810,557 2,431,672 1,215,836 607,918 303,959 911,878 455,939 1,367,818 683,909 2,051,728 1,025,864 512,932 256,466

More profiles

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