λ
Harmonic Matrix

6,840,884

22 × 1710221
Deficient Even Composite

6,840,884 has digital root 2. The neighboring primes are 6840871 and 6840929; its proper-divisor sum differs from the starting integer by -1,710,214.

Prime Factor Structure

Factorization String 2^2 × 1710221
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 11,971,554
Proper Divisor Sum 5,130,670
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6840871 ← → #6840929

Radix Representation

Decimal 6840884
Binary 11010000110001000110100 (23 bits)
Octal 0o32061064
Hexadecimal 0x686234

Divisor Catalog (6)

1 2 4 1,710,221 3,420,442 6,840,884

Collatz Trajectory (222 steps to reach 1)

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

6,840,884 3,420,442 1,710,221 5,130,664 2,565,332 1,282,666 641,333 1,924,000 962,000 481,000 240,500 120,250 60,125 180,376 90,188 45,094 22,547 67,642 33,821 101,464 50,732 25,366 12,683 38,050 19,025 57,076 28,538 14,269 42,808 21,404 10,702 5,351 16,054 8,027 24,082 12,041 36,124 18,062 9,031 27,094 13,547 40,642 20,321 60,964 30,482 15,241 45,724 22,862 11,431 34,294 17,147 51,442 25,721 77,164 38,582 19,291 57,874 28,937 86,812 43,406

More profiles

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