λ
Harmonic Matrix

6,242,845

5 × 72 × 83 × 307
Deficient Odd Composite

6,242,845 has digital root 4. The neighboring primes are 6242839 and 6242851; its proper-divisor sum differs from the starting integer by -3,637,466.

Prime Factor Structure

Factorization String 5 × 7^2 × 83 × 307
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,848,224
Proper Divisor Sum 2,605,379
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6242839 ← → #6242851

Radix Representation

Decimal 6242845
Binary 10111110100001000011101 (23 bits)
Octal 0o27641035
Hexadecimal 0x5F421D

Divisor Catalog (24)

1 5 7 35 49 83 245 307 415 581 1,535 2,149 2,905 4,067 10,745 15,043 20,335 25,481 75,215 127,405 178,367 891,835 1,248,569 6,242,845

Collatz Trajectory (152 steps to reach 1)

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

6,242,845 18,728,536 9,364,268 4,682,134 2,341,067 7,023,202 3,511,601 10,534,804 5,267,402 2,633,701 7,901,104 3,950,552 1,975,276 987,638 493,819 1,481,458 740,729 2,222,188 1,111,094 555,547 1,666,642 833,321 2,499,964 1,249,982 624,991 1,874,974 937,487 2,812,462 1,406,231 4,218,694 2,109,347 6,328,042 3,164,021 9,492,064 4,746,032 2,373,016 1,186,508 593,254 296,627 889,882 444,941 1,334,824 667,412 333,706 166,853 500,560 250,280 125,140 62,570 31,285 93,856 46,928 23,464 11,732 5,866 2,933 8,800 4,400 2,200 1,100

More profiles

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