26,605,150

2 × 5² × 11 × 13 × 61²

26,605,150 factors as 2 × 5^2 × 11 × 13 × 61^2. Its 72 positive divisors give a proper-divisor sum of 32,500,442, so this integer is abundant. The Collatz stopping time is 255 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 13 × 61^2

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 59,105,592

Proper Divisor Sum 32,500,442

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #26605141 ← → #26605171

Radix Representation

Decimal	26605150
Binary	1100101011111011001011110 (25 bits)
Octal	0o145373136
Hexadecimal	0x195F65E

Divisor Catalog (60 of 72)

Collatz Trajectory (255 steps to reach 1)

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

26,605,150 13,302,575 39,907,726 19,953,863 59,861,590 29,930,795 89,792,386 44,896,193 134,688,580 67,344,290 33,672,145 101,016,436 50,508,218 25,254,109 75,762,328 37,881,164 18,940,582 9,470,291 28,410,874 14,205,437 42,616,312 21,308,156 10,654,078 5,327,039 15,981,118 7,990,559 23,971,678 11,985,839 35,957,518 17,978,759 53,936,278 26,968,139 80,904,418 40,452,209 121,356,628 60,678,314 30,339,157 91,017,472 45,508,736 22,754,368 11,377,184 5,688,592 2,844,296 1,422,148 711,074 355,537 1,066,612 533,306 266,653 799,960 399,980 199,990 99,995 299,986 149,993 449,980 224,990 112,495 337,486 168,743

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