25,757,574

2 × 3 × 97 × 44257

25,757,574 factors as 2 × 3 × 97 × 44257. Its 16 positive divisors give a proper-divisor sum of 26,289,834, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2 × 3 × 97 × 44257

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 52,047,408

Proper Divisor Sum 26,289,834

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #25757569 ← → #25757591

Radix Representation

Decimal	25757574
Binary	1100010010000011110000110 (25 bits)
Octal	0o142203606
Hexadecimal	0x1890786

Divisor Catalog (16)

1 2 3 6 97 194 291 582 44,257 88,514 132,771 265,542 4,292,929 8,585,858 12,878,787 25,757,574

Collatz Trajectory (123 steps to reach 1)

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

25,757,574 12,878,787 38,636,362 19,318,181 57,954,544 28,977,272 14,488,636 7,244,318 3,622,159 10,866,478 5,433,239 16,299,718 8,149,859 24,449,578 12,224,789 36,674,368 18,337,184 9,168,592 4,584,296 2,292,148 1,146,074 573,037 1,719,112 859,556 429,778 214,889 644,668 322,334 161,167 483,502 241,751 725,254 362,627 1,087,882 543,941 1,631,824 815,912 407,956 203,978 101,989 305,968 152,984 76,492 38,246 19,123 57,370 28,685 86,056 43,028 21,514 10,757 32,272 16,136 8,068 4,034 2,017 6,052 3,026 1,513 4,540

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