λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,201,618

12,201,618

2 × 3 × 11 × 13 × 14221
Abundant Even Composite

12,201,618 factors as 2 × 3 × 11 × 13 × 14221. Its 32 positive divisors give a proper-divisor sum of 16,469,934, so this integer is abundant. The Collatz stopping time is 246 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 14221
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 28,671,552
Proper Divisor Sum 16,469,934
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #12201611 ← → #12201619

Radix Representation

Decimal 12201618
Binary 101110100010111010010010 (24 bits)
Octal 0o56427222
Hexadecimal 0xBA2E92

Divisor Catalog (32)

1 2 3 6 11 13 22 26 33 39 66 78 143 286 429 858 14,221 28,442 42,663 85,326 156,431 184,873 312,862 369,746 469,293 554,619 938,586 1,109,238 2,033,603 4,067,206 6,100,809 12,201,618

Collatz Trajectory (246 steps to reach 1)

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

12,201,618 6,100,809 18,302,428 9,151,214 4,575,607 13,726,822 6,863,411 20,590,234 10,295,117 30,885,352 15,442,676 7,721,338 3,860,669 11,582,008 5,791,004 2,895,502 1,447,751 4,343,254 2,171,627 6,514,882 3,257,441 9,772,324 4,886,162 2,443,081 7,329,244 3,664,622 1,832,311 5,496,934 2,748,467 8,245,402 4,122,701 12,368,104 6,184,052 3,092,026 1,546,013 4,638,040 2,319,020 1,159,510 579,755 1,739,266 869,633 2,608,900 1,304,450 652,225 1,956,676 978,338 489,169 1,467,508 733,754 366,877 1,100,632 550,316 275,158 137,579 412,738 206,369 619,108 309,554 154,777 464,332

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #12,201,617 Browse Full Index Next Integer #12,201,619 →