849,348

2² × 3² × 23593

849,348 factors as 2^2 × 3^2 × 23593. Its 18 positive divisors give a proper-divisor sum of 1,297,706, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23593

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,147,054

Proper Divisor Sum 1,297,706

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #849347 ← → #849349

Radix Representation

Decimal	849348
Binary	11001111010111000100 (20 bits)
Octal	0o3172704
Hexadecimal	0xCF5C4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 23,593 47,186 70,779 94,372 141,558 212,337 283,116 424,674 849,348

Collatz Trajectory (82 steps to reach 1)

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

849,348 424,674 212,337 637,012 318,506 159,253 477,760 238,880 119,440 59,720 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 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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