λ
Ratio Atlas

26,035,180

22 × 5 × 47 × 27697
Abundant Even Composite

26,035,180 factors as 2^2 × 5 × 47 × 27697. Its 24 positive divisors give a proper-divisor sum of 29,803,988, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 47 × 27697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 55,839,168
Proper Divisor Sum 29,803,988
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #26035171 ← → #26035183

Radix Representation

Decimal 26035180
Binary 1100011010100001111101100 (25 bits)
Octal 0o143241754
Hexadecimal 0x18D43EC

Divisor Catalog (24)

Collatz Trajectory (180 steps to reach 1)

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

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 75,150,767 225,452,302 112,726,151 338,178,454 169,089,227 507,267,682 253,633,841 760,901,524 380,450,762 190,225,381 570,676,144 285,338,072 142,669,036 71,334,518 35,667,259

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