λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,420,846

3,420,846

2 × 33 × 11 × 13 × 443
Abundant Even Composite

3,420,846 factors as 2 × 3^3 × 11 × 13 × 443. Its 64 positive divisors give a proper-divisor sum of 5,530,194, so this integer is abundant. The Collatz stopping time is 221 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 13 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,951,040
Proper Divisor Sum 5,530,194
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3420839 ← → #3420871

Radix Representation

Decimal 3420846
Binary 1101000011001010101110 (22 bits)
Octal 0o15031256
Hexadecimal 0x3432AE

Divisor Catalog (60 of 64)

1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 429 443 594 702 858 886 1,287 1,329 2,574 2,658 3,861 3,987 4,873 5,759 7,722 7,974 9,746 11,518 11,961 14,619 17,277 23,922 29,238 34,554 43,857 51,831 63,349 87,714 103,662 126,698 131,571 155,493 190,047 263,142 310,986 380,094

Collatz Trajectory (221 steps to reach 1)

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

3,420,846 1,710,423 5,131,270 2,565,635 7,696,906 3,848,453 11,545,360 5,772,680 2,886,340 1,443,170 721,585 2,164,756 1,082,378 541,189 1,623,568 811,784 405,892 202,946 101,473 304,420 152,210 76,105 228,316 114,158 57,079 171,238 85,619 256,858 128,429 385,288 192,644 96,322 48,161 144,484 72,242 36,121 108,364 54,182 27,091 81,274 40,637 121,912 60,956 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,420,845 Browse Full Index Next Integer #3,420,847 →