λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,680,428

11,680,428

22 × 3 × 17 × 31 × 1847
Abundant Even Composite

11,680,428 factors as 2^2 × 3 × 17 × 31 × 1847. Its 48 positive divisors give a proper-divisor sum of 18,124,116, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 31 × 1847
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 29,804,544
Proper Divisor Sum 18,124,116
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #11680379 ← → #11680457

Radix Representation

Decimal 11680428
Binary 101100100011101010101100 (24 bits)
Octal 0o54435254
Hexadecimal 0xB23AAC

Divisor Catalog (48)

1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1,054 1,581 1,847 2,108 3,162 3,694 5,541 6,324 7,388 11,082 22,164 31,399 57,257 62,798 94,197 114,514 125,596 171,771 188,394 229,028 343,542 376,788 687,084 973,369 1,946,738 2,920,107 3,893,476 5,840,214 11,680,428

Collatz Trajectory (109 steps to reach 1)

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

11,680,428 5,840,214 2,920,107 8,760,322 4,380,161 13,140,484 6,570,242 3,285,121 9,855,364 4,927,682 2,463,841 7,391,524 3,695,762 1,847,881 5,543,644 2,771,822 1,385,911 4,157,734 2,078,867 6,236,602 3,118,301 9,354,904 4,677,452 2,338,726 1,169,363 3,508,090 1,754,045 5,262,136 2,631,068 1,315,534 657,767 1,973,302 986,651 2,959,954 1,479,977 4,439,932 2,219,966 1,109,983 3,329,950 1,664,975 4,994,926 2,497,463 7,492,390 3,746,195 11,238,586 5,619,293 16,857,880 8,428,940 4,214,470 2,107,235 6,321,706 3,160,853 9,482,560 4,741,280 2,370,640 1,185,320 592,660 296,330 148,165 444,496

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #11,680,427 Browse Full Index Next Integer #11,680,429 →