6,315,345

3² × 5 × 37 × 3793

For 6,315,345, the 24 positive divisors have a total of 11,245,416. Removing 6,315,345 leaves 4,930,071, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 37 × 3793

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,245,416

Proper Divisor Sum 4,930,071

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #6315341 ← → #6315371

Radix Representation

Decimal	6315345
Binary	11000000101110101010001 (23 bits)
Octal	0o30056521
Hexadecimal	0x605D51

Divisor Catalog (24)

1 3 5 9 15 37 45 111 185 333 555 1,665 3,793 11,379 18,965 34,137 56,895 140,341 170,685 421,023 701,705 1,263,069 2,105,115 6,315,345

Collatz Trajectory (126 steps to reach 1)

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

6,315,345 18,946,036 9,473,018 4,736,509 14,209,528 7,104,764 3,552,382 1,776,191 5,328,574 2,664,287 7,992,862 3,996,431 11,989,294 5,994,647 17,983,942 8,991,971 26,975,914 13,487,957 40,463,872 20,231,936 10,115,968 5,057,984 2,528,992 1,264,496 632,248 316,124 158,062 79,031 237,094 118,547 355,642 177,821 533,464 266,732 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058

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