3,690,315

3² × 5 × 82007

3,690,315 has the prime decomposition 3^2 × 5 × 82007. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 82007

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,396,624

Proper Divisor Sum 2,706,309

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3690307 ← → #3690329

Radix Representation

Decimal	3690315
Binary	1110000100111101001011 (22 bits)
Octal	0o16047513
Hexadecimal	0x384F4B

Divisor Catalog (12)

1 3 5 9 15 45 82,007 246,021 410,035 738,063 1,230,105 3,690,315

Collatz Trajectory (79 steps to reach 1)

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

3,690,315 11,070,946 5,535,473 16,606,420 8,303,210 4,151,605 12,454,816 6,227,408 3,113,704 1,556,852 778,426 389,213 1,167,640 583,820 291,910 145,955 437,866 218,933 656,800 328,400 164,200 82,100 41,050 20,525 61,576 30,788 15,394 7,697 23,092 11,546 5,773 17,320 8,660 4,330 2,165 6,496 3,248 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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