λ
Math Directory

3,833,992

23 × 41 × 11689
Deficient Even Composite

3,833,992 factors as 2^3 × 41 × 11689. Its 16 positive divisors give a proper-divisor sum of 3,530,708, so this integer is deficient. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 11689
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,364,700
Proper Divisor Sum 3,530,708
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3833989 ← → #3834013

Radix Representation

Decimal 3833992
Binary 1110101000000010001000 (22 bits)
Octal 0o16500210
Hexadecimal 0x3A8088

Divisor Catalog (16)

1 2 4 8 41 82 164 328 11,689 23,378 46,756 93,512 479,249 958,498 1,916,996 3,833,992

Collatz Trajectory (79 steps to reach 1)

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

3,833,992 1,916,996 958,498 479,249 1,437,748 718,874 359,437 1,078,312 539,156 269,578 134,789 404,368 202,184 101,092 50,546 25,273 75,820 37,910 18,955 56,866 28,433 85,300 42,650 21,325 63,976 31,988 15,994 7,997 23,992 11,996 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19

More profiles

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