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4,092,832

25 × 79 × 1619
Deficient Even Composite

4,092,832 factors as 2^5 × 79 × 1619. Its 24 positive divisors give a proper-divisor sum of 4,071,968, so this integer is deficient. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^5 × 79 × 1619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,164,800
Proper Divisor Sum 4,071,968
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #4092811 ← → #4092839

Radix Representation

Decimal 4092832
Binary 1111100111001110100000 (22 bits)
Octal 0o17471640
Hexadecimal 0x3E73A0

Divisor Catalog (24)

1 2 4 8 16 32 79 158 316 632 1,264 1,619 2,528 3,238 6,476 12,952 25,904 51,808 127,901 255,802 511,604 1,023,208 2,046,416 4,092,832

Collatz Trajectory (198 steps to reach 1)

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

4,092,832 2,046,416 1,023,208 511,604 255,802 127,901 383,704 191,852 95,926 47,963 143,890 71,945 215,836 107,918 53,959 161,878 80,939 242,818 121,409 364,228 182,114 91,057 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333

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