6,715,009

7² × 43 × 3187

6,715,009 factors as 7^2 × 43 × 3187. Its 12 positive divisors give a proper-divisor sum of 1,280,495, so this integer is deficient. The Collatz stopping time is 359 steps.

Prime Factor Structure

Factorization String 7^2 × 43 × 3187

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,995,504

Proper Divisor Sum 1,280,495

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6715001 ← → #6715039

Radix Representation

Decimal	6715009
Binary	11001100111011010000001 (23 bits)
Octal	0o31473201
Hexadecimal	0x667681

Divisor Catalog (12)

1 7 43 49 301 2,107 3,187 22,309 137,041 156,163 959,287 6,715,009

Collatz Trajectory (359 steps to reach 1)

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

6,715,009 20,145,028 10,072,514 5,036,257 15,108,772 7,554,386 3,777,193 11,331,580 5,665,790 2,832,895 8,498,686 4,249,343 12,748,030 6,374,015 19,122,046 9,561,023 28,683,070 14,341,535 43,024,606 21,512,303 64,536,910 32,268,455 96,805,366 48,402,683 145,208,050 72,604,025 217,812,076 108,906,038 54,453,019 163,359,058 81,679,529 245,038,588 122,519,294 61,259,647 183,778,942 91,889,471 275,668,414 137,834,207 413,502,622 206,751,311 620,253,934 310,126,967 930,380,902 465,190,451 1,395,571,354 697,785,677 2,093,357,032 1,046,678,516 523,339,258 261,669,629 785,008,888 392,504,444 196,252,222 98,126,111 294,378,334 147,189,167 441,567,502 220,783,751 662,351,254 331,175,627

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