25,916,516

2² × 131 × 49459

25,916,516 factors as 2^2 × 131 × 49459. Its 12 positive divisors give a proper-divisor sum of 19,784,524, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^2 × 131 × 49459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 45,701,040

Proper Divisor Sum 19,784,524

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #25916489 ← → #25916519

Radix Representation

Decimal	25916516
Binary	1100010110111010001100100 (25 bits)
Octal	0o142672144
Hexadecimal	0x18B7464

Divisor Catalog (12)

1 2 4 131 262 524 49,459 98,918 197,836 6,479,129 12,958,258 25,916,516

Collatz Trajectory (118 steps to reach 1)

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

25,916,516 12,958,258 6,479,129 19,437,388 9,718,694 4,859,347 14,578,042 7,289,021 21,867,064 10,933,532 5,466,766 2,733,383 8,200,150 4,100,075 12,300,226 6,150,113 18,450,340 9,225,170 4,612,585 13,837,756 6,918,878 3,459,439 10,378,318 5,189,159 15,567,478 7,783,739 23,351,218 11,675,609 35,026,828 17,513,414 8,756,707 26,270,122 13,135,061 39,405,184 19,702,592 9,851,296 4,925,648 2,462,824 1,231,412 615,706 307,853 923,560 461,780 230,890 115,445 346,336 173,168 86,584 43,292 21,646 10,823 32,470 16,235 48,706 24,353 73,060 36,530 18,265 54,796 27,398

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