25,751,355

3 × 5 × 7 × 245251

25,751,355 factors as 3 × 5 × 7 × 245251. Its 16 positive divisors give a proper-divisor sum of 21,337,029, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 245251

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 47,088,384

Proper Divisor Sum 21,337,029

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #25751353 ← → #25751357

Radix Representation

Decimal	25751355
Binary	1100010001110111100111011 (25 bits)
Octal	0o142167473
Hexadecimal	0x188EF3B

Divisor Catalog (16)

1 3 5 7 15 21 35 105 245,251 735,753 1,226,255 1,716,757 3,678,765 5,150,271 8,583,785 25,751,355

Collatz Trajectory (167 steps to reach 1)

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

25,751,355 77,254,066 38,627,033 115,881,100 57,940,550 28,970,275 86,910,826 43,455,413 130,366,240 65,183,120 32,591,560 16,295,780 8,147,890 4,073,945 12,221,836 6,110,918 3,055,459 9,166,378 4,583,189 13,749,568 6,874,784 3,437,392 1,718,696 859,348 429,674 214,837 644,512 322,256 161,128 80,564 40,282 20,141 60,424 30,212 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757

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