2,493,365

5 × 7² × 10177

2,493,365 factors as 5 × 7^2 × 10177. Its 12 positive divisors give a proper-divisor sum of 987,511, so this integer is deficient. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 5 × 7^2 × 10177

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,480,876

Proper Divisor Sum 987,511

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #2493353 ← → #2493383

Radix Representation

Decimal	2493365
Binary	1001100000101110110101 (22 bits)
Octal	0o11405665
Hexadecimal	0x260BB5

Divisor Catalog (12)

1 5 7 35 49 245 10,177 50,885 71,239 356,195 498,673 2,493,365

Collatz Trajectory (135 steps to reach 1)

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

2,493,365 7,480,096 3,740,048 1,870,024 935,012 467,506 233,753 701,260 350,630 175,315 525,946 262,973 788,920 394,460 197,230 98,615 295,846 147,923 443,770 221,885 665,656 332,828 166,414 83,207 249,622 124,811 374,434 187,217 561,652 280,826 140,413 421,240 210,620 105,310 52,655 157,966 78,983 236,950 118,475 355,426 177,713 533,140 266,570 133,285 399,856 199,928 99,964 49,982 24,991 74,974 37,487 112,462 56,231 168,694 84,347 253,042 126,521 379,564 189,782 94,891

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