3,076,230

2 × 3 × 5 × 41² × 61

3,076,230 has the prime decomposition 2 × 3 × 5 × 41^2 × 61. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 41^2 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,691,472

Proper Divisor Sum 4,615,242

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3076219 ← → #3076231

Radix Representation

Decimal	3076230
Binary	1011101111000010000110 (22 bits)
Octal	0o13570206
Hexadecimal	0x2EF086

Divisor Catalog (48)

1 2 3 5 6 10 15 30 41 61 82 122 123 183 205 246 305 366 410 610 615 915 1,230 1,681 1,830 2,501 3,362 5,002 5,043 7,503 8,405 10,086 12,505 15,006 16,810 25,010 25,215 37,515 50,430 75,030 102,541 205,082 307,623 512,705 615,246 1,025,410 1,538,115 3,076,230

Collatz Trajectory (76 steps to reach 1)

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

3,076,230 1,538,115 4,614,346 2,307,173 6,921,520 3,460,760 1,730,380 865,190 432,595 1,297,786 648,893 1,946,680 973,340 486,670 243,335 730,006 365,003 1,095,010 547,505 1,642,516 821,258 410,629 1,231,888 615,944 307,972 153,986 76,993 230,980 115,490 57,745 173,236 86,618 43,309 129,928 64,964 32,482 16,241 48,724 24,362 12,181 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544

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