λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,914,742

3,914,742

2 × 3 × 13 × 31 × 1619
Abundant Even Composite

3,914,742 factors as 2 × 3 × 13 × 31 × 1619. Its 32 positive divisors give a proper-divisor sum of 4,794,378, so this integer is abundant. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 31 × 1619
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,709,120
Proper Divisor Sum 4,794,378
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3914723 ← → #3914747

Radix Representation

Decimal 3914742
Binary 1110111011101111110110 (22 bits)
Octal 0o16735766
Hexadecimal 0x3BBBF6

Divisor Catalog (32)

1 2 3 6 13 26 31 39 62 78 93 186 403 806 1,209 1,619 2,418 3,238 4,857 9,714 21,047 42,094 50,189 63,141 100,378 126,282 150,567 301,134 652,457 1,304,914 1,957,371 3,914,742

Collatz Trajectory (216 steps to reach 1)

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

3,914,742 1,957,371 5,872,114 2,936,057 8,808,172 4,404,086 2,202,043 6,606,130 3,303,065 9,909,196 4,954,598 2,477,299 7,431,898 3,715,949 11,147,848 5,573,924 2,786,962 1,393,481 4,180,444 2,090,222 1,045,111 3,135,334 1,567,667 4,703,002 2,351,501 7,054,504 3,527,252 1,763,626 881,813 2,645,440 1,322,720 661,360 330,680 165,340 82,670 41,335 124,006 62,003 186,010 93,005 279,016 139,508 69,754 34,877 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,914,741 Browse Full Index Next Integer #3,914,743 →