λ
Harmonic Matrix

4,080,196

22 × 1020049
Deficient Even Composite

4,080,196 has digital root 1. The neighboring primes are 4080191 and 4080199; its proper-divisor sum differs from the starting integer by -1,020,042.

Prime Factor Structure

Factorization String 2^2 × 1020049
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,140,350
Proper Divisor Sum 3,060,154
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4080191 ← → #4080199

Radix Representation

Decimal 4080196
Binary 1111100100001001000100 (22 bits)
Octal 0o17441104
Hexadecimal 0x3E4244

Divisor Catalog (6)

1 2 4 1,020,049 2,040,098 4,080,196

Collatz Trajectory (198 steps to reach 1)

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

4,080,196 2,040,098 1,020,049 3,060,148 1,530,074 765,037 2,295,112 1,147,556 573,778 286,889 860,668 430,334 215,167 645,502 322,751 968,254 484,127 1,452,382 726,191 2,178,574 1,089,287 3,267,862 1,633,931 4,901,794 2,450,897 7,352,692 3,676,346 1,838,173 5,514,520 2,757,260 1,378,630 689,315 2,067,946 1,033,973 3,101,920 1,550,960 775,480 387,740 193,870 96,935 290,806 145,403 436,210 218,105 654,316 327,158 163,579 490,738 245,369 736,108 368,054 184,027 552,082 276,041 828,124 414,062 207,031 621,094 310,547 931,642

More profiles

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