17,855,201

7 × 13 × 37 × 5303

17,855,201 factors as 7 × 13 × 37 × 5303. Its 16 positive divisors give a proper-divisor sum of 4,718,623, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 7 × 13 × 37 × 5303

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 22,573,824

Proper Divisor Sum 4,718,623

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #17855179 ← → #17855203

Radix Representation

Decimal	17855201
Binary	1000100000111001011100001 (25 bits)
Octal	0o104071341
Hexadecimal	0x11072E1

Divisor Catalog (16)

1 7 13 37 91 259 481 3,367 5,303 37,121 68,939 196,211 482,573 1,373,477 2,550,743 17,855,201

Collatz Trajectory (257 steps to reach 1)

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

17,855,201 53,565,604 26,782,802 13,391,401 40,174,204 20,087,102 10,043,551 30,130,654 15,065,327 45,195,982 22,597,991 67,793,974 33,896,987 101,690,962 50,845,481 152,536,444 76,268,222 38,134,111 114,402,334 57,201,167 171,603,502 85,801,751 257,405,254 128,702,627 386,107,882 193,053,941 579,161,824 289,580,912 144,790,456 72,395,228 36,197,614 18,098,807 54,296,422 27,148,211 81,444,634 40,722,317 122,166,952 61,083,476 30,541,738 15,270,869 45,812,608 22,906,304 11,453,152 5,726,576 2,863,288 1,431,644 715,822 357,911 1,073,734 536,867 1,610,602 805,301 2,415,904 1,207,952 603,976 301,988 150,994 75,497 226,492 113,246

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