λ
Harmonic Matrix

2,371,812

22 × 3 × 197651
Abundant Even Composite

2,371,812 has digital root 6. The neighboring primes are 2371801 and 2371819; its proper-divisor sum differs from the starting integer by 790,632.

Prime Factor Structure

Factorization String 2^2 × 3 × 197651
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,534,256
Proper Divisor Sum 3,162,444
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2371801 ← → #2371819

Radix Representation

Decimal 2371812
Binary 1001000011000011100100 (22 bits)
Octal 0o11030344
Hexadecimal 0x2430E4

Divisor Catalog (12)

1 2 3 4 6 12 197,651 395,302 592,953 790,604 1,185,906 2,371,812

Collatz Trajectory (99 steps to reach 1)

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

2,371,812 1,185,906 592,953 1,778,860 889,430 444,715 1,334,146 667,073 2,001,220 1,000,610 500,305 1,500,916 750,458 375,229 1,125,688 562,844 281,422 140,711 422,134 211,067 633,202 316,601 949,804 474,902 237,451 712,354 356,177 1,068,532 534,266 267,133 801,400 400,700 200,350 100,175 300,526 150,263 450,790 225,395 676,186 338,093 1,014,280 507,140 253,570 126,785 380,356 190,178 95,089 285,268 142,634 71,317 213,952 106,976 53,488 26,744 13,372 6,686 3,343 10,030 5,015 15,046

More profiles

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