1,989,232

2⁴ × 7 × 17761

1,989,232 factors as 2^4 × 7 × 17761. Its 20 positive divisors give a proper-divisor sum of 2,415,744, so this integer is abundant. The Collatz stopping time is 290 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 17761

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 4,404,976

Proper Divisor Sum 2,415,744

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1989217 ← → #1989233

Radix Representation

Decimal	1989232
Binary	111100101101001110000 (21 bits)
Octal	0o7455160
Hexadecimal	0x1E5A70

Divisor Catalog (20)

Collatz Trajectory (290 steps to reach 1)

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

1,989,232 994,616 497,308 248,654 124,327 372,982 186,491 559,474 279,737 839,212 419,606 209,803 629,410 314,705 944,116 472,058 236,029 708,088 354,044 177,022 88,511 265,534 132,767 398,302 199,151 597,454 298,727 896,182 448,091 1,344,274 672,137 2,016,412 1,008,206 504,103 1,512,310 756,155 2,268,466 1,134,233 3,402,700 1,701,350 850,675 2,552,026 1,276,013 3,828,040 1,914,020 957,010 478,505 1,435,516 717,758 358,879 1,076,638 538,319 1,614,958 807,479 2,422,438 1,211,219 3,633,658 1,816,829 5,450,488 2,725,244

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