834,852

2² × 3 × 29 × 2399

834,852 factors as 2^2 × 3 × 29 × 2399. Its 24 positive divisors give a proper-divisor sum of 1,181,148, so this integer is abundant. The Collatz stopping time is 281 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 2399

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,016,000

Proper Divisor Sum 1,181,148

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #834829 ← → #834857

Radix Representation

Decimal	834852
Binary	11001011110100100100 (20 bits)
Octal	0o3136444
Hexadecimal	0xCBD24

Divisor Catalog (24)

Collatz Trajectory (281 steps to reach 1)

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

834,852 417,426 208,713 626,140 313,070 156,535 469,606 234,803 704,410 352,205 1,056,616 528,308 264,154 132,077 396,232 198,116 99,058 49,529 148,588 74,294 37,147 111,442 55,721 167,164 83,582 41,791 125,374 62,687 188,062 94,031 282,094 141,047 423,142 211,571 634,714 317,357 952,072 476,036 238,018 119,009 357,028 178,514 89,257 267,772 133,886 66,943 200,830 100,415 301,246 150,623 451,870 225,935 677,806 338,903 1,016,710 508,355 1,525,066 762,533 2,287,600 1,143,800

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