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Atlas › Integer Profiles › Node 2,154,192

2,154,192

24 × 3 × 44879
Abundant Even Composite

2,154,192 factors as 2^4 × 3 × 44879. Its 20 positive divisors give a proper-divisor sum of 3,410,928, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 44879
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,565,120
Proper Divisor Sum 3,410,928
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2154169 ← → #2154193

Radix Representation

Decimal 2154192
Binary 1000001101111011010000 (22 bits)
Octal 0o10157320
Hexadecimal 0x20DED0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 44,879 89,758 134,637 179,516 269,274 359,032 538,548 718,064 1,077,096 2,154,192

Collatz Trajectory (117 steps to reach 1)

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

2,154,192 1,077,096 538,548 269,274 134,637 403,912 201,956 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593 64,780 32,390 16,195 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666

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