λ
Ratio Atlas

6,490,236

22 × 3 × 59 × 89 × 103
Abundant Even Composite

6,490,236 factors as 2^2 × 3 × 59 × 89 × 103. Its 48 positive divisors give a proper-divisor sum of 9,234,564, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 89 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,724,800
Proper Divisor Sum 9,234,564
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6490219 ← → #6490247

Radix Representation

Decimal 6490236
Binary 11000110000100001111100 (23 bits)
Octal 0o30604174
Hexadecimal 0x63087C

Divisor Catalog (48)

1 2 3 4 6 12 59 89 103 118 177 178 206 236 267 309 354 356 412 534 618 708 1,068 1,236 5,251 6,077 9,167 10,502 12,154 15,753 18,231 18,334 21,004 24,308 27,501 31,506 36,462 36,668 55,002 63,012 72,924 110,004 540,853 1,081,706 1,622,559 2,163,412 3,245,118 6,490,236

Collatz Trajectory (165 steps to reach 1)

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

6,490,236 3,245,118 1,622,559 4,867,678 2,433,839 7,301,518 3,650,759 10,952,278 5,476,139 16,428,418 8,214,209 24,642,628 12,321,314 6,160,657 18,481,972 9,240,986 4,620,493 13,861,480 6,930,740 3,465,370 1,732,685 5,198,056 2,599,028 1,299,514 649,757 1,949,272 974,636 487,318 243,659 730,978 365,489 1,096,468 548,234 274,117 822,352 411,176 205,588 102,794 51,397 154,192 77,096 38,548 19,274 9,637 28,912 14,456 7,228 3,614 1,807 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144

More profiles

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