λ
Harmonic Matrix

6,187,726

2 × 3093863
Deficient Even Composite

6,187,726 has digital root 1. The neighboring primes are 6187717 and 6187729; its proper-divisor sum differs from the starting integer by -3,093,860.

Prime Factor Structure

Factorization String 2 × 3093863
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,281,592
Proper Divisor Sum 3,093,866
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6187717 ← → #6187729

Radix Representation

Decimal 6187726
Binary 10111100110101011001110 (23 bits)
Octal 0o27465316
Hexadecimal 0x5E6ACE

Divisor Catalog (4)

1 2 3,093,863 6,187,726

Collatz Trajectory (103 steps to reach 1)

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

6,187,726 3,093,863 9,281,590 4,640,795 13,922,386 6,961,193 20,883,580 10,441,790 5,220,895 15,662,686 7,831,343 23,494,030 11,747,015 35,241,046 17,620,523 52,861,570 26,430,785 79,292,356 39,646,178 19,823,089 59,469,268 29,734,634 14,867,317 44,601,952 22,300,976 11,150,488 5,575,244 2,787,622 1,393,811 4,181,434 2,090,717 6,272,152 3,136,076 1,568,038 784,019 2,352,058 1,176,029 3,528,088 1,764,044 882,022 441,011 1,323,034 661,517 1,984,552 992,276 496,138 248,069 744,208 372,104 186,052 93,026 46,513 139,540 69,770 34,885 104,656 52,328 26,164 13,082 6,541

More profiles

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