3,301,571

7² × 13 × 71 × 73

3,301,571 factors as 7^2 × 13 × 71 × 73. Its 24 positive divisors give a proper-divisor sum of 950,173, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 7^2 × 13 × 71 × 73

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,251,744

Proper Divisor Sum 950,173

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3301561 ← → #3301579

Radix Representation

Decimal	3301571
Binary	1100100110000011000011 (22 bits)
Octal	0o14460303
Hexadecimal	0x3260C3

Divisor Catalog (24)

Collatz Trajectory (177 steps to reach 1)

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

3,301,571 9,904,714 4,952,357 14,857,072 7,428,536 3,714,268 1,857,134 928,567 2,785,702 1,392,851 4,178,554 2,089,277 6,267,832 3,133,916 1,566,958 783,479 2,350,438 1,175,219 3,525,658 1,762,829 5,288,488 2,644,244 1,322,122 661,061 1,983,184 991,592 495,796 247,898 123,949 371,848 185,924 92,962 46,481 139,444 69,722 34,861 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97

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