25,756,041

3 × 131 × 65537

25,756,041 factors as 3 × 131 × 65537. Its 8 positive divisors give a proper-divisor sum of 8,848,023, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 3 × 131 × 65537

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 34,604,064

Proper Divisor Sum 8,848,023

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #25756019 ← → #25756051

Radix Representation

Decimal	25756041
Binary	1100010010000000110001001 (25 bits)
Octal	0o142200611
Hexadecimal	0x1890189

Divisor Catalog (8)

1 3 131 393 65,537 196,611 8,585,347 25,756,041

Collatz Trajectory (211 steps to reach 1)

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

25,756,041 77,268,124 38,634,062 19,317,031 57,951,094 28,975,547 86,926,642 43,463,321 130,389,964 65,194,982 32,597,491 97,792,474 48,896,237 146,688,712 73,344,356 36,672,178 18,336,089 55,008,268 27,504,134 13,752,067 41,256,202 20,628,101 61,884,304 30,942,152 15,471,076 7,735,538 3,867,769 11,603,308 5,801,654 2,900,827 8,702,482 4,351,241 13,053,724 6,526,862 3,263,431 9,790,294 4,895,147 14,685,442 7,342,721 22,028,164 11,014,082 5,507,041 16,521,124 8,260,562 4,130,281 12,390,844 6,195,422 3,097,711 9,293,134 4,646,567 13,939,702 6,969,851 20,909,554 10,454,777 31,364,332 15,682,166 7,841,083 23,523,250 11,761,625 35,284,876

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