2,571,375

3 × 5³ × 6857

2,571,375 factors as 3 × 5^3 × 6857. Its 16 positive divisors give a proper-divisor sum of 1,708,017, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 3 × 5^3 × 6857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,279,392

Proper Divisor Sum 1,708,017

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2571337 ← → #2571409

Radix Representation

Decimal	2571375
Binary	1001110011110001101111 (22 bits)
Octal	0o11636157
Hexadecimal	0x273C6F

Divisor Catalog (16)

1 3 5 15 25 75 125 375 6,857 20,571 34,285 102,855 171,425 514,275 857,125 2,571,375

Collatz Trajectory (187 steps to reach 1)

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

2,571,375 7,714,126 3,857,063 11,571,190 5,785,595 17,356,786 8,678,393 26,035,180 13,017,590 6,508,795 19,526,386 9,763,193 29,289,580 14,644,790 7,322,395 21,967,186 10,983,593 32,950,780 16,475,390 8,237,695 24,713,086 12,356,543 37,069,630 18,534,815 55,604,446 27,802,223 83,406,670 41,703,335 125,110,006 62,555,003 187,665,010 93,832,505 281,497,516 140,748,758 70,374,379 211,123,138 105,561,569 316,684,708 158,342,354 79,171,177 237,513,532 118,756,766 59,378,383 178,135,150 89,067,575 267,202,726 133,601,363 400,804,090 200,402,045 601,206,136 300,603,068 150,301,534 75,150,767 225,452,302 112,726,151 338,178,454 169,089,227 507,267,682 253,633,841 760,901,524

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