890,488

2³ × 79 × 1409

890,488 factors as 2^3 × 79 × 1409. Its 16 positive divisors give a proper-divisor sum of 801,512, so this integer is deficient. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^3 × 79 × 1409

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,692,000

Proper Divisor Sum 801,512

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #890467 ← → #890501

Radix Representation

Decimal	890488
Binary	11011001011001111000 (20 bits)
Octal	0o3313170
Hexadecimal	0xD9678

Divisor Catalog (16)

1 2 4 8 79 158 316 632 1,409 2,818 5,636 11,272 111,311 222,622 445,244 890,488

Collatz Trajectory (144 steps to reach 1)

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

890,488 445,244 222,622 111,311 333,934 166,967 500,902 250,451 751,354 375,677 1,127,032 563,516 281,758 140,879 422,638 211,319 633,958 316,979 950,938 475,469 1,426,408 713,204 356,602 178,301 534,904 267,452 133,726 66,863 200,590 100,295 300,886 150,443 451,330 225,665 676,996 338,498 169,249 507,748 253,874 126,937 380,812 190,406 95,203 285,610 142,805 428,416 214,208 107,104 53,552 26,776 13,388 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650

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