λ
Harmonic Matrix

2,992,108

22 × 7 × 106861
Abundant Even Composite

2,992,108 has digital root 4. The neighboring primes are 2992097 and 2992109; its proper-divisor sum differs from the starting integer by 56.

Prime Factor Structure

Factorization String 2^2 × 7 × 106861
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,984,272
Proper Divisor Sum 2,992,164
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2992097 ← → #2992109

Radix Representation

Decimal 2992108
Binary 1011011010011111101100 (22 bits)
Octal 0o13323754
Hexadecimal 0x2DA7EC

Divisor Catalog (12)

1 2 4 7 14 28 106,861 213,722 427,444 748,027 1,496,054 2,992,108

Collatz Trajectory (76 steps to reach 1)

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

2,992,108 1,496,054 748,027 2,244,082 1,122,041 3,366,124 1,683,062 841,531 2,524,594 1,262,297 3,786,892 1,893,446 946,723 2,840,170 1,420,085 4,260,256 2,130,128 1,065,064 532,532 266,266 133,133 399,400 199,700 99,850 49,925 149,776 74,888 37,444 18,722 9,361 28,084 14,042 7,021 21,064 10,532 5,266 2,633 7,900 3,950 1,975 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88

More profiles

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