3,993,525

3² × 5² × 17749

3,993,525 factors as 3^2 × 5^2 × 17749. Its 18 positive divisors give a proper-divisor sum of 3,159,725, so this integer is deficient. The Collatz stopping time is 229 steps.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 17749

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 7,153,250

Proper Divisor Sum 3,159,725

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3993511 ← → #3993527

Radix Representation

Decimal	3993525
Binary	1111001110111110110101 (22 bits)
Octal	0o17167665
Hexadecimal	0x3CEFB5

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 17,749 53,247 88,745 159,741 266,235 443,725 798,705 1,331,175 3,993,525

Collatz Trajectory (229 steps to reach 1)

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

3,993,525 11,980,576 5,990,288 2,995,144 1,497,572 748,786 374,393 1,123,180 561,590 280,795 842,386 421,193 1,263,580 631,790 315,895 947,686 473,843 1,421,530 710,765 2,132,296 1,066,148 533,074 266,537 799,612 399,806 199,903 599,710 299,855 899,566 449,783 1,349,350 674,675 2,024,026 1,012,013 3,036,040 1,518,020 759,010 379,505 1,138,516 569,258 284,629 853,888 426,944 213,472 106,736 53,368 26,684 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222

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