359,289

3³ × 7 × 1901

359,289 factors as 3^3 × 7 × 1901. Its 16 positive divisors give a proper-divisor sum of 249,351, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 1901

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 608,640

Proper Divisor Sum 249,351

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #359279 ← → #359291

Radix Representation

Decimal	359289
Binary	1010111101101111001 (19 bits)
Octal	0o1275571
Hexadecimal	0x57B79

Divisor Catalog (16)

1 3 7 9 21 27 63 189 1,901 5,703 13,307 17,109 39,921 51,327 119,763 359,289

Collatz Trajectory (210 steps to reach 1)

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

359,289 1,077,868 538,934 269,467 808,402 404,201 1,212,604 606,302 303,151 909,454 454,727 1,364,182 682,091 2,046,274 1,023,137 3,069,412 1,534,706 767,353 2,302,060 1,151,030 575,515 1,726,546 863,273 2,589,820 1,294,910 647,455 1,942,366 971,183 2,913,550 1,456,775 4,370,326 2,185,163 6,555,490 3,277,745 9,833,236 4,916,618 2,458,309 7,374,928 3,687,464 1,843,732 921,866 460,933 1,382,800 691,400 345,700 172,850 86,425 259,276 129,638 64,819 194,458 97,229 291,688 145,844 72,922 36,461 109,384 54,692 27,346 13,673

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