26,297,991

3² × 167 × 17497

26,297,991 factors as 3^2 × 167 × 17497. Its 12 positive divisors give a proper-divisor sum of 11,917,641, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^2 × 167 × 17497

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 38,215,632

Proper Divisor Sum 11,917,641

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #26297989 ← → #26298001

Radix Representation

Decimal	26297991
Binary	1100100010100011010000111 (25 bits)
Octal	0o144243207
Hexadecimal	0x1914687

Divisor Catalog (12)

1 3 9 167 501 1,503 17,497 52,491 157,473 2,921,999 8,765,997 26,297,991

Collatz Trajectory (167 steps to reach 1)

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

26,297,991 78,893,974 39,446,987 118,340,962 59,170,481 177,511,444 88,755,722 44,377,861 133,133,584 66,566,792 33,283,396 16,641,698 8,320,849 24,962,548 12,481,274 6,240,637 18,721,912 9,360,956 4,680,478 2,340,239 7,020,718 3,510,359 10,531,078 5,265,539 15,796,618 7,898,309 23,694,928 11,847,464 5,923,732 2,961,866 1,480,933 4,442,800 2,221,400 1,110,700 555,350 277,675 833,026 416,513 1,249,540 624,770 312,385 937,156 468,578 234,289 702,868 351,434 175,717 527,152 263,576 131,788 65,894 32,947 98,842 49,421 148,264 74,132 37,066 18,533 55,600 27,800

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