λ
Harmonic Matrix

7,196,076

22 × 32 × 47 × 4253
Abundant Even Composite

7,196,076 has digital root 9. The neighboring primes are 7196047 and 7196087; its proper-divisor sum differs from the starting integer by 4,189,320.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 4253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 18,581,472
Proper Divisor Sum 11,385,396
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7196047 ← → #7196087

Radix Representation

Decimal 7196076
Binary 11011011100110110101100 (23 bits)
Octal 0o33346654
Hexadecimal 0x6DCDAC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1,692 4,253 8,506 12,759 17,012 25,518 38,277 51,036 76,554 153,108 199,891 399,782 599,673 799,564 1,199,346 1,799,019 2,398,692 3,598,038 7,196,076

Collatz Trajectory (222 steps to reach 1)

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

7,196,076 3,598,038 1,799,019 5,397,058 2,698,529 8,095,588 4,047,794 2,023,897 6,071,692 3,035,846 1,517,923 4,553,770 2,276,885 6,830,656 3,415,328 1,707,664 853,832 426,916 213,458 106,729 320,188 160,094 80,047 240,142 120,071 360,214 180,107 540,322 270,161 810,484 405,242 202,621 607,864 303,932 151,966 75,983 227,950 113,975 341,926 170,963 512,890 256,445 769,336 384,668 192,334 96,167 288,502 144,251 432,754 216,377 649,132 324,566 162,283 486,850 243,425 730,276 365,138 182,569 547,708 273,854

More profiles

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