3,912,615

3² × 5 × 7 × 12421

3,912,615 has the prime decomposition 3^2 × 5 × 7 × 12421. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 12421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,751,328

Proper Divisor Sum 3,838,713

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3912611 ← → #3912647

Radix Representation

Decimal	3912615
Binary	1110111011001110100111 (22 bits)
Octal	0o16731647
Hexadecimal	0x3BB3A7

Divisor Catalog (24)

1 3 5 7 9 15 21 35 45 63 105 315 12,421 37,263 62,105 86,947 111,789 186,315 260,841 434,735 558,945 782,523 1,304,205 3,912,615

Collatz Trajectory (185 steps to reach 1)

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

3,912,615 11,737,846 5,868,923 17,606,770 8,803,385 26,410,156 13,205,078 6,602,539 19,807,618 9,903,809 29,711,428 14,855,714 7,427,857 22,283,572 11,141,786 5,570,893 16,712,680 8,356,340 4,178,170 2,089,085 6,267,256 3,133,628 1,566,814 783,407 2,350,222 1,175,111 3,525,334 1,762,667 5,288,002 2,644,001 7,932,004 3,966,002 1,983,001 5,949,004 2,974,502 1,487,251 4,461,754 2,230,877 6,692,632 3,346,316 1,673,158 836,579 2,509,738 1,254,869 3,764,608 1,882,304 941,152 470,576 235,288 117,644 58,822 29,411 88,234 44,117 132,352 66,176 33,088 16,544 8,272 4,136

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