λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,790,416

6,790,416

24 × 3 × 241 × 587
Abundant Even Composite

6,790,416 factors as 2^4 × 3 × 241 × 587. Its 40 positive divisors give a proper-divisor sum of 10,854,288, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 241 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 17,644,704
Proper Divisor Sum 10,854,288
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6790411 ← → #6790471

Radix Representation

Decimal 6790416
Binary 11001111001110100010000 (23 bits)
Octal 0o31716420
Hexadecimal 0x679D10

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 241 482 587 723 964 1,174 1,446 1,761 1,928 2,348 2,892 3,522 3,856 4,696 5,784 7,044 9,392 11,568 14,088 28,176 141,467 282,934 424,401 565,868 848,802 1,131,736 1,697,604 2,263,472 3,395,208 6,790,416

Collatz Trajectory (147 steps to reach 1)

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

6,790,416 3,395,208 1,697,604 848,802 424,401 1,273,204 636,602 318,301 954,904 477,452 238,726 119,363 358,090 179,045 537,136 268,568 134,284 67,142 33,571 100,714 50,357 151,072 75,536 37,768 18,884 9,442 4,721 14,164 7,082 3,541 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,790,415 Browse Full Index Next Integer #6,790,417 →