2,249,334

2 × 3² × 19 × 6577

2,249,334 factors as 2 × 3^2 × 19 × 6577. Its 24 positive divisors give a proper-divisor sum of 2,881,506, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 6577

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,130,840

Proper Divisor Sum 2,881,506

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2249311 ← → #2249363

Radix Representation

Decimal	2249334
Binary	1000100101001001110110 (22 bits)
Octal	0o10451166
Hexadecimal	0x225276

Divisor Catalog (24)

Collatz Trajectory (135 steps to reach 1)

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

2,249,334 1,124,667 3,374,002 1,687,001 5,061,004 2,530,502 1,265,251 3,795,754 1,897,877 5,693,632 2,846,816 1,423,408 711,704 355,852 177,926 88,963 266,890 133,445 400,336 200,168 100,084 50,042 25,021 75,064 37,532 18,766 9,383 28,150 14,075 42,226 21,113 63,340 31,670 15,835 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344 3,172 1,586 793 2,380

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