λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,969,846

3,969,846

2 × 32 × 23 × 43 × 223
Abundant Even Composite

3,969,846 factors as 2 × 3^2 × 23 × 43 × 223. Its 48 positive divisors give a proper-divisor sum of 5,255,370, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 43 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,225,216
Proper Divisor Sum 5,255,370
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3969827 ← → #3969853

Radix Representation

Decimal 3969846
Binary 1111001001001100110110 (22 bits)
Octal 0o17111466
Hexadecimal 0x3C9336

Divisor Catalog (48)

1 2 3 6 9 18 23 43 46 69 86 129 138 207 223 258 387 414 446 669 774 989 1,338 1,978 2,007 2,967 4,014 5,129 5,934 8,901 9,589 10,258 15,387 17,802 19,178 28,767 30,774 46,161 57,534 86,301 92,322 172,602 220,547 441,094 661,641 1,323,282 1,984,923 3,969,846

Collatz Trajectory (185 steps to reach 1)

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

3,969,846 1,984,923 5,954,770 2,977,385 8,932,156 4,466,078 2,233,039 6,699,118 3,349,559 10,048,678 5,024,339 15,073,018 7,536,509 22,609,528 11,304,764 5,652,382 2,826,191 8,478,574 4,239,287 12,717,862 6,358,931 19,076,794 9,538,397 28,615,192 14,307,596 7,153,798 3,576,899 10,730,698 5,365,349 16,096,048 8,048,024 4,024,012 2,012,006 1,006,003 3,018,010 1,509,005 4,527,016 2,263,508 1,131,754 565,877 1,697,632 848,816 424,408 212,204 106,102 53,051 159,154 79,577 238,732 119,366 59,683 179,050 89,525 268,576 134,288 67,144 33,572 16,786 8,393 25,180

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,969,845 Browse Full Index Next Integer #3,969,847 →