λ
Harmonic Matrix

6,797,740

22 × 5 × 339887
Abundant Even Composite

6,797,740 has digital root 4. The neighboring primes are 6797737 and 6797743; its proper-divisor sum differs from the starting integer by 679,816.

Prime Factor Structure

Factorization String 2^2 × 5 × 339887
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,275,296
Proper Divisor Sum 7,477,556
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #6797737 ← → #6797743

Radix Representation

Decimal 6797740
Binary 11001111011100110101100 (23 bits)
Octal 0o31734654
Hexadecimal 0x67B9AC

Divisor Catalog (12)

1 2 4 5 10 20 339,887 679,774 1,359,548 1,699,435 3,398,870 6,797,740

Collatz Trajectory (134 steps to reach 1)

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

6,797,740 3,398,870 1,699,435 5,098,306 2,549,153 7,647,460 3,823,730 1,911,865 5,735,596 2,867,798 1,433,899 4,301,698 2,150,849 6,452,548 3,226,274 1,613,137 4,839,412 2,419,706 1,209,853 3,629,560 1,814,780 907,390 453,695 1,361,086 680,543 2,041,630 1,020,815 3,062,446 1,531,223 4,593,670 2,296,835 6,890,506 3,445,253 10,335,760 5,167,880 2,583,940 1,291,970 645,985 1,937,956 968,978 484,489 1,453,468 726,734 363,367 1,090,102 545,051 1,635,154 817,577 2,452,732 1,226,366 613,183 1,839,550 919,775 2,759,326 1,379,663 4,138,990 2,069,495 6,208,486 3,104,243 9,312,730

More profiles

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