λ
Harmonic Matrix

6,006,913

11 × 37 × 14759
Deficient Odd Composite

6,006,913 has digital root 7. The neighboring primes are 6006911 and 6006941; its proper-divisor sum differs from the starting integer by -5,283,266.

Prime Factor Structure

Factorization String 11 × 37 × 14759
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,730,560
Proper Divisor Sum 723,647
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #6006911 ← → #6006941

Radix Representation

Decimal 6006913
Binary 10110111010100010000001 (23 bits)
Octal 0o26724201
Hexadecimal 0x5BA881

Divisor Catalog (8)

1 11 37 407 14,759 162,349 546,083 6,006,913

Collatz Trajectory (139 steps to reach 1)

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

6,006,913 18,020,740 9,010,370 4,505,185 13,515,556 6,757,778 3,378,889 10,136,668 5,068,334 2,534,167 7,602,502 3,801,251 11,403,754 5,701,877 17,105,632 8,552,816 4,276,408 2,138,204 1,069,102 534,551 1,603,654 801,827 2,405,482 1,202,741 3,608,224 1,804,112 902,056 451,028 225,514 112,757 338,272 169,136 84,568 42,284 21,142 10,571 31,714 15,857 47,572 23,786 11,893 35,680 17,840 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358

More profiles

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