λ
Harmonic Matrix

6,017,540

22 × 5 × 300877
Abundant Even Composite

6,017,540 has digital root 5. The neighboring primes are 6017537 and 6017579; its proper-divisor sum differs from the starting integer by 601,796.

Prime Factor Structure

Factorization String 2^2 × 5 × 300877
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 12,636,876
Proper Divisor Sum 6,619,336
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6017537 ← → #6017579

Radix Representation

Decimal 6017540
Binary 10110111101001000000100 (23 bits)
Octal 0o26751004
Hexadecimal 0x5BD204

Divisor Catalog (12)

1 2 4 5 10 20 300,877 601,754 1,203,508 1,504,385 3,008,770 6,017,540

Collatz Trajectory (183 steps to reach 1)

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

6,017,540 3,008,770 1,504,385 4,513,156 2,256,578 1,128,289 3,384,868 1,692,434 846,217 2,538,652 1,269,326 634,663 1,903,990 951,995 2,855,986 1,427,993 4,283,980 2,141,990 1,070,995 3,212,986 1,606,493 4,819,480 2,409,740 1,204,870 602,435 1,807,306 903,653 2,710,960 1,355,480 677,740 338,870 169,435 508,306 254,153 762,460 381,230 190,615 571,846 285,923 857,770 428,885 1,286,656 643,328 321,664 160,832 80,416 40,208 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061

More profiles

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