λ
Match Zalai

6,793,974

2 × 32 × 11 × 34313
Abundant Even Composite

6,793,974 factors as 2 × 3^2 × 11 × 34313. Its 24 positive divisors give a proper-divisor sum of 9,264,978, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 11 × 34313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,058,952
Proper Divisor Sum 9,264,978
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #6793973 ← → #6794023

Radix Representation

Decimal 6793974
Binary 11001111010101011110110 (23 bits)
Octal 0o31725366
Hexadecimal 0x67AAF6

Divisor Catalog (24)

1 2 3 6 9 11 18 22 33 66 99 198 34,313 68,626 102,939 205,878 308,817 377,443 617,634 754,886 1,132,329 2,264,658 3,396,987 6,793,974

Collatz Trajectory (134 steps to reach 1)

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

6,793,974 3,396,987 10,190,962 5,095,481 15,286,444 7,643,222 3,821,611 11,464,834 5,732,417 17,197,252 8,598,626 4,299,313 12,897,940 6,448,970 3,224,485 9,673,456 4,836,728 2,418,364 1,209,182 604,591 1,813,774 906,887 2,720,662 1,360,331 4,080,994 2,040,497 6,121,492 3,060,746 1,530,373 4,591,120 2,295,560 1,147,780 573,890 286,945 860,836 430,418 215,209 645,628 322,814 161,407 484,222 242,111 726,334 363,167 1,089,502 544,751 1,634,254 817,127 2,451,382 1,225,691 3,677,074 1,838,537 5,515,612 2,757,806 1,378,903 4,136,710 2,068,355 6,205,066 3,102,533 9,307,600

More profiles

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