10,837,212

2² × 3 × 757 × 1193

10,837,212 factors as 2^2 × 3 × 757 × 1193. Its 24 positive divisors give a proper-divisor sum of 14,504,244, so this integer is abundant. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 757 × 1193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 25,341,456

Proper Divisor Sum 14,504,244

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #10837159 ← → #10837223

Radix Representation

Decimal	10837212
Binary	101001010101110011011100 (24 bits)
Octal	0o51256334
Hexadecimal	0xA55CDC

Divisor Catalog (24)

Collatz Trajectory (233 steps to reach 1)

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

10,837,212 5,418,606 2,709,303 8,127,910 4,063,955 12,191,866 6,095,933 18,287,800 9,143,900 4,571,950 2,285,975 6,857,926 3,428,963 10,286,890 5,143,445 15,430,336 7,715,168 3,857,584 1,928,792 964,396 482,198 241,099 723,298 361,649 1,084,948 542,474 271,237 813,712 406,856 203,428 101,714 50,857 152,572 76,286 38,143 114,430 57,215 171,646 85,823 257,470 128,735 386,206 193,103 579,310 289,655 868,966 434,483 1,303,450 651,725 1,955,176 977,588 488,794 244,397 733,192 366,596 183,298 91,649 274,948 137,474 68,737

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