λ
Harmonic Matrix

6,250,550

2 × 52 × 149 × 839
Deficient Even Composite

6,250,550 has digital root 5. The neighboring primes are 6250547 and 6250553; its proper-divisor sum differs from the starting integer by -783,100.

Prime Factor Structure

Factorization String 2 × 5^2 × 149 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 11,718,000
Proper Divisor Sum 5,467,450
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6250547 ← → #6250553

Radix Representation

Decimal 6250550
Binary 10111110110000000110110 (23 bits)
Octal 0o27660066
Hexadecimal 0x5F6036

Divisor Catalog (24)

1 2 5 10 25 50 149 298 745 839 1,490 1,678 3,725 4,195 7,450 8,390 20,975 41,950 125,011 250,022 625,055 1,250,110 3,125,275 6,250,550

Collatz Trajectory (103 steps to reach 1)

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

6,250,550 3,125,275 9,375,826 4,687,913 14,063,740 7,031,870 3,515,935 10,547,806 5,273,903 15,821,710 7,910,855 23,732,566 11,866,283 35,598,850 17,799,425 53,398,276 26,699,138 13,349,569 40,048,708 20,024,354 10,012,177 30,036,532 15,018,266 7,509,133 22,527,400 11,263,700 5,631,850 2,815,925 8,447,776 4,223,888 2,111,944 1,055,972 527,986 263,993 791,980 395,990 197,995 593,986 296,993 890,980 445,490 222,745 668,236 334,118 167,059 501,178 250,589 751,768 375,884 187,942 93,971 281,914 140,957 422,872 211,436 105,718 52,859 158,578 79,289 237,868

More profiles

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