λ
Modular Archive

5,005,050

2 × 3 × 52 × 61 × 547
Abundant Even Composite

The decimal integer 5,005,050 is 10011000101111011111010 in binary (23 bits), 23057372 in octal and 4C5EFA in hexadecimal. Its digit sum is 15.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 61 × 547
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,639,072
Proper Divisor Sum 7,634,022
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #5005031 ← → #5005057

Radix Representation

Decimal 5005050
Binary 10011000101111011111010 (23 bits)
Octal 0o23057372
Hexadecimal 0x4C5EFA

Divisor Catalog (48)

1 2 3 5 6 10 15 25 30 50 61 75 122 150 183 305 366 547 610 915 1,094 1,525 1,641 1,830 2,735 3,050 3,282 4,575 5,470 8,205 9,150 13,675 16,410 27,350 33,367 41,025 66,734 82,050 100,101 166,835 200,202 333,670 500,505 834,175 1,001,010 1,668,350 2,502,525 5,005,050

Collatz Trajectory (136 steps to reach 1)

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

5,005,050 2,502,525 7,507,576 3,753,788 1,876,894 938,447 2,815,342 1,407,671 4,223,014 2,111,507 6,334,522 3,167,261 9,501,784 4,750,892 2,375,446 1,187,723 3,563,170 1,781,585 5,344,756 2,672,378 1,336,189 4,008,568 2,004,284 1,002,142 501,071 1,503,214 751,607 2,254,822 1,127,411 3,382,234 1,691,117 5,073,352 2,536,676 1,268,338 634,169 1,902,508 951,254 475,627 1,426,882 713,441 2,140,324 1,070,162 535,081 1,605,244 802,622 401,311 1,203,934 601,967 1,805,902 902,951 2,708,854 1,354,427 4,063,282 2,031,641 6,094,924 3,047,462 1,523,731 4,571,194 2,285,597 6,856,792

More profiles

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