7,017,993

3² × 47² × 353

7,017,993 factors as 3^2 × 47^2 × 353. Its 18 positive divisors give a proper-divisor sum of 3,368,721, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 3^2 × 47^2 × 353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 10,386,714

Proper Divisor Sum 3,368,721

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7017979 ← → #7018019

Radix Representation

Decimal	7017993
Binary	11010110001011000001001 (23 bits)
Octal	0o32613011
Hexadecimal	0x6B1609

Divisor Catalog (18)

1 3 9 47 141 353 423 1,059 2,209 3,177 6,627 16,591 19,881 49,773 149,319 779,777 2,339,331 7,017,993

Collatz Trajectory (129 steps to reach 1)

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

7,017,993 21,053,980 10,526,990 5,263,495 15,790,486 7,895,243 23,685,730 11,842,865 35,528,596 17,764,298 8,882,149 26,646,448 13,323,224 6,661,612 3,330,806 1,665,403 4,996,210 2,498,105 7,494,316 3,747,158 1,873,579 5,620,738 2,810,369 8,431,108 4,215,554 2,107,777 6,323,332 3,161,666 1,580,833 4,742,500 2,371,250 1,185,625 3,556,876 1,778,438 889,219 2,667,658 1,333,829 4,001,488 2,000,744 1,000,372 500,186 250,093 750,280 375,140 187,570 93,785 281,356 140,678 70,339 211,018 105,509 316,528 158,264 79,132 39,566 19,783 59,350 29,675 89,026 44,513

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