λ
Harmonic Matrix

6,696,092

22 × 13 × 61 × 2111
Deficient Even Composite

6,696,092 has digital root 2. The neighboring primes are 6696091 and 6696101; its proper-divisor sum differs from the starting integer by -559,672.

Prime Factor Structure

Factorization String 2^2 × 13 × 61 × 2111
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,832,512
Proper Divisor Sum 6,136,420
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6696091 ← → #6696101

Radix Representation

Decimal 6696092
Binary 11001100010110010011100 (23 bits)
Octal 0o31426234
Hexadecimal 0x662C9C

Divisor Catalog (24)

1 2 4 13 26 52 61 122 244 793 1,586 2,111 3,172 4,222 8,444 27,443 54,886 109,772 128,771 257,542 515,084 1,674,023 3,348,046 6,696,092

Collatz Trajectory (315 steps to reach 1)

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

6,696,092 3,348,046 1,674,023 5,022,070 2,511,035 7,533,106 3,766,553 11,299,660 5,649,830 2,824,915 8,474,746 4,237,373 12,712,120 6,356,060 3,178,030 1,589,015 4,767,046 2,383,523 7,150,570 3,575,285 10,725,856 5,362,928 2,681,464 1,340,732 670,366 335,183 1,005,550 502,775 1,508,326 754,163 2,262,490 1,131,245 3,393,736 1,696,868 848,434 424,217 1,272,652 636,326 318,163 954,490 477,245 1,431,736 715,868 357,934 178,967 536,902 268,451 805,354 402,677 1,208,032 604,016 302,008 151,004 75,502 37,751 113,254 56,627 169,882 84,941 254,824

More profiles

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