λ
Harmonic Matrix

2,750,217

3 × 619 × 1481
Deficient Odd Composite

2,750,217 has digital root 6. The neighboring primes are 2750213 and 2750219; its proper-divisor sum differs from the starting integer by -1,825,074.

Prime Factor Structure

Factorization String 3 × 619 × 1481
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,675,360
Proper Divisor Sum 925,143
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2750213 ← → #2750219

Radix Representation

Decimal 2750217
Binary 1010011111011100001001 (22 bits)
Octal 0o12373411
Hexadecimal 0x29F709

Divisor Catalog (8)

1 3 619 1,481 1,857 4,443 916,739 2,750,217

Collatz Trajectory (187 steps to reach 1)

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

2,750,217 8,250,652 4,125,326 2,062,663 6,187,990 3,093,995 9,281,986 4,640,993 13,922,980 6,961,490 3,480,745 10,442,236 5,221,118 2,610,559 7,831,678 3,915,839 11,747,518 5,873,759 17,621,278 8,810,639 26,431,918 13,215,959 39,647,878 19,823,939 59,471,818 29,735,909 89,207,728 44,603,864 22,301,932 11,150,966 5,575,483 16,726,450 8,363,225 25,089,676 12,544,838 6,272,419 18,817,258 9,408,629 28,225,888 14,112,944 7,056,472 3,528,236 1,764,118 882,059 2,646,178 1,323,089 3,969,268 1,984,634 992,317 2,976,952 1,488,476 744,238 372,119 1,116,358 558,179 1,674,538 837,269 2,511,808 1,255,904 627,952

More profiles

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