λ
Harmonic Matrix

6,888,939

3 × 211 × 10883
Deficient Odd Composite

6,888,939 has digital root 6. The neighboring primes are 6888877 and 6888941; its proper-divisor sum differs from the starting integer by -4,548,246.

Prime Factor Structure

Factorization String 3 × 211 × 10883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,229,632
Proper Divisor Sum 2,340,693
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #6888877 ← → #6888941

Radix Representation

Decimal 6888939
Binary 11010010001110111101011 (23 bits)
Octal 0o32216753
Hexadecimal 0x691DEB

Divisor Catalog (8)

1 3 211 633 10,883 32,649 2,296,313 6,888,939

Collatz Trajectory (160 steps to reach 1)

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

6,888,939 20,666,818 10,333,409 31,000,228 15,500,114 7,750,057 23,250,172 11,625,086 5,812,543 17,437,630 8,718,815 26,156,446 13,078,223 39,234,670 19,617,335 58,852,006 29,426,003 88,278,010 44,139,005 132,417,016 66,208,508 33,104,254 16,552,127 49,656,382 24,828,191 74,484,574 37,242,287 111,726,862 55,863,431 167,590,294 83,795,147 251,385,442 125,692,721 377,078,164 188,539,082 94,269,541 282,808,624 141,404,312 70,702,156 35,351,078 17,675,539 53,026,618 26,513,309 79,539,928 39,769,964 19,884,982 9,942,491 29,827,474 14,913,737 44,741,212 22,370,606 11,185,303 33,555,910 16,777,955 50,333,866 25,166,933 75,500,800 37,750,400 18,875,200 9,437,600

More profiles

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