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50,004,650

2 × 52 × 17 × 89 × 661
Deficient Even Composite

50,004,650 factors as 2 × 5^2 × 17 × 89 × 661. Its 48 positive divisors give a proper-divisor sum of 49,732,270, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 89 × 661
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,736,920
Proper Divisor Sum 49,732,270
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #50004641 ← → #50004653

Radix Representation

Decimal 50004650
Binary 10111110110000001010101010 (26 bits)
Octal 0o276601252
Hexadecimal 0x2FB02AA

Divisor Catalog (48)

1 2 5 10 17 25 34 50 85 89 170 178 425 445 661 850 890 1,322 1,513 2,225 3,026 3,305 4,450 6,610 7,565 11,237 15,130 16,525 22,474 33,050 37,825 56,185 58,829 75,650 112,370 117,658 280,925 294,145 561,850 588,290 1,000,093 1,470,725 2,000,186 2,941,450 5,000,465 10,000,930 25,002,325 50,004,650

Collatz Trajectory (80 steps to reach 1)

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

50,004,650 25,002,325 75,006,976 37,503,488 18,751,744 9,375,872 4,687,936 2,343,968 1,171,984 585,992 292,996 146,498 73,249 219,748 109,874 54,937 164,812 82,406 41,203 123,610 61,805 185,416 92,708 46,354 23,177 69,532 34,766 17,383 52,150 26,075 78,226 39,113 117,340 58,670 29,335 88,006 44,003 132,010 66,005 198,016 99,008 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245

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