λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,201,638

18,201,638

2 × 73 × 132 × 157
Deficient Even Composite

18,201,638 factors as 2 × 7^3 × 13^2 × 157. Its 48 positive divisors give a proper-divisor sum of 16,495,162, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 2 × 7^3 × 13^2 × 157
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,696,800
Proper Divisor Sum 16,495,162
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #18201629 ← → #18201649

Radix Representation

Decimal 18201638
Binary 1000101011011110000100110 (25 bits)
Octal 0o105336046
Hexadecimal 0x115BC26

Divisor Catalog (48)

1 2 7 13 14 26 49 91 98 157 169 182 314 338 343 637 686 1,099 1,183 1,274 2,041 2,198 2,366 4,082 4,459 7,693 8,281 8,918 14,287 15,386 16,562 26,533 28,574 53,066 53,851 57,967 100,009 107,702 115,934 185,731 200,018 371,462 700,063 1,300,117 1,400,126 2,600,234 9,100,819 18,201,638

Collatz Trajectory (226 steps to reach 1)

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

18,201,638 9,100,819 27,302,458 13,651,229 40,953,688 20,476,844 10,238,422 5,119,211 15,357,634 7,678,817 23,036,452 11,518,226 5,759,113 17,277,340 8,638,670 4,319,335 12,958,006 6,479,003 19,437,010 9,718,505 29,155,516 14,577,758 7,288,879 21,866,638 10,933,319 32,799,958 16,399,979 49,199,938 24,599,969 73,799,908 36,899,954 18,449,977 55,349,932 27,674,966 13,837,483 41,512,450 20,756,225 62,268,676 31,134,338 15,567,169 46,701,508 23,350,754 11,675,377 35,026,132 17,513,066 8,756,533 26,269,600 13,134,800 6,567,400 3,283,700 1,641,850 820,925 2,462,776 1,231,388 615,694 307,847 923,542 461,771 1,385,314 692,657

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #18,201,637 Browse Full Index Next Integer #18,201,639 →