6,063,993

3² × 13 × 51829

6,063,993 factors as 3^2 × 13 × 51829. Its 12 positive divisors give a proper-divisor sum of 3,369,067, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 51829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,433,060

Proper Divisor Sum 3,369,067

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6063979 ← → #6064001

Radix Representation

Decimal	6063993
Binary	10111001000011101111001 (23 bits)
Octal	0o27103571
Hexadecimal	0x5C8779

Divisor Catalog (12)

1 3 9 13 39 117 51,829 155,487 466,461 673,777 2,021,331 6,063,993

Collatz Trajectory (121 steps to reach 1)

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

6,063,993 18,191,980 9,095,990 4,547,995 13,643,986 6,821,993 20,465,980 10,232,990 5,116,495 15,349,486 7,674,743 23,024,230 11,512,115 34,536,346 17,268,173 51,804,520 25,902,260 12,951,130 6,475,565 19,426,696 9,713,348 4,856,674 2,428,337 7,285,012 3,642,506 1,821,253 5,463,760 2,731,880 1,365,940 682,970 341,485 1,024,456 512,228 256,114 128,057 384,172 192,086 96,043 288,130 144,065 432,196 216,098 108,049 324,148 162,074 81,037 243,112 121,556 60,778 30,389 91,168 45,584 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412

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