17,242,575

3 × 5² × 7 × 32843

17,242,575 factors as 3 × 5^2 × 7 × 32843. Its 24 positive divisors give a proper-divisor sum of 15,338,673, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 7 × 32843

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 32,581,248

Proper Divisor Sum 15,338,673

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #17242553 ← → #17242579

Radix Representation

Decimal	17242575
Binary	1000001110001100111001111 (25 bits)
Octal	0o101614717
Hexadecimal	0x10719CF

Divisor Catalog (24)

Collatz Trajectory (205 steps to reach 1)

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

17,242,575 51,727,726 25,863,863 77,591,590 38,795,795 116,387,386 58,193,693 174,581,080 87,290,540 43,645,270 21,822,635 65,467,906 32,733,953 98,201,860 49,100,930 24,550,465 73,651,396 36,825,698 18,412,849 55,238,548 27,619,274 13,809,637 41,428,912 20,714,456 10,357,228 5,178,614 2,589,307 7,767,922 3,883,961 11,651,884 5,825,942 2,912,971 8,738,914 4,369,457 13,108,372 6,554,186 3,277,093 9,831,280 4,915,640 2,457,820 1,228,910 614,455 1,843,366 921,683 2,765,050 1,382,525 4,147,576 2,073,788 1,036,894 518,447 1,555,342 777,671 2,333,014 1,166,507 3,499,522 1,749,761 5,249,284 2,624,642 1,312,321 3,936,964

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