849,048

2³ × 3 × 17 × 2081

849,048 factors as 2^3 × 3 × 17 × 2081. Its 32 positive divisors give a proper-divisor sum of 1,399,512, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 2081

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,248,560

Proper Divisor Sum 1,399,512

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #849047 ← → #849049

Radix Representation

Decimal	849048
Binary	11001111010010011000 (20 bits)
Octal	0o3172230
Hexadecimal	0xCF498

Divisor Catalog (32)

Collatz Trajectory (82 steps to reach 1)

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

849,048 424,524 212,262 106,131 318,394 159,197 477,592 238,796 119,398 59,699 179,098 89,549 268,648 134,324 67,162 33,581 100,744 50,372 25,186 12,593 37,780 18,890 9,445 28,336 14,168 7,084 3,542 1,771 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 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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