849,296

2⁴ × 7 × 7583

849,296 factors as 2^4 × 7 × 7583. Its 20 positive divisors give a proper-divisor sum of 1,031,536, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 7583

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,880,832

Proper Divisor Sum 1,031,536

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #849271 ← → #849301

Radix Representation

Decimal	849296
Binary	11001111010110010000 (20 bits)
Octal	0o3172620
Hexadecimal	0xCF590

Divisor Catalog (20)

Collatz Trajectory (82 steps to reach 1)

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

849,296 424,648 212,324 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25

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