890,780

2² × 5 × 11 × 4049

890,780 factors as 2^2 × 5 × 11 × 4049. Its 24 positive divisors give a proper-divisor sum of 1,150,420, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 4049

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,041,200

Proper Divisor Sum 1,150,420

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #890761 ← → #890789

Radix Representation

Decimal	890780
Binary	11011001011110011100 (20 bits)
Octal	0o3313634
Hexadecimal	0xD979C

Divisor Catalog (24)

Collatz Trajectory (144 steps to reach 1)

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

890,780 445,390 222,695 668,086 334,043 1,002,130 501,065 1,503,196 751,598 375,799 1,127,398 563,699 1,691,098 845,549 2,536,648 1,268,324 634,162 317,081 951,244 475,622 237,811 713,434 356,717 1,070,152 535,076 267,538 133,769 401,308 200,654 100,327 300,982 150,491 451,474 225,737 677,212 338,606 169,303 507,910 253,955 761,866 380,933 1,142,800 571,400 285,700 142,850 71,425 214,276 107,138 53,569 160,708 80,354 40,177 120,532 60,266 30,133 90,400 45,200 22,600 11,300 5,650

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