λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,987,992

1,987,992

23 × 32 × 27611
Abundant Even Composite

1,987,992 factors as 2^3 × 3^2 × 27611. Its 24 positive divisors give a proper-divisor sum of 3,396,348, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 27611
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,384,340
Proper Divisor Sum 3,396,348
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #1987991 ← → #1988011

Radix Representation

Decimal 1987992
Binary 111100101010110011000 (21 bits)
Octal 0o7452630
Hexadecimal 0x1E5598

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 27,611 55,222 82,833 110,444 165,666 220,888 248,499 331,332 496,998 662,664 993,996 1,987,992

Collatz Trajectory (65 steps to reach 1)

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

1,987,992 993,996 496,998 248,499 745,498 372,749 1,118,248 559,124 279,562 139,781 419,344 209,672 104,836 52,418 26,209 78,628 39,314 19,657 58,972 29,486 14,743 44,230 22,115 66,346 33,173 99,520 49,760 24,880 12,440 6,220 3,110 1,555 4,666 2,333 7,000 3,500 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,987,991 Browse Full Index Next Integer #1,987,993 →