971,852

2² × 7 × 61 × 569

971,852 factors as 2^2 × 7 × 61 × 569. Its 24 positive divisors give a proper-divisor sum of 1,007,188, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 61 × 569

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,979,040

Proper Divisor Sum 1,007,188

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #971851 ← → #971857

Radix Representation

Decimal	971852
Binary	11101101010001001100 (20 bits)
Octal	0o3552114
Hexadecimal	0xED44C

Divisor Catalog (24)

Collatz Trajectory (183 steps to reach 1)

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

971,852 485,926 242,963 728,890 364,445 1,093,336 546,668 273,334 136,667 410,002 205,001 615,004 307,502 153,751 461,254 230,627 691,882 345,941 1,037,824 518,912 259,456 129,728 64,864 32,432 16,216 8,108 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 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030

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