λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,141,140

18,141,140

22 × 5 × 151 × 6007
Abundant Even Composite

18,141,140 factors as 2^2 × 5 × 151 × 6007. Its 24 positive divisors give a proper-divisor sum of 20,213,932, so this integer is abundant. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 151 × 6007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 38,355,072
Proper Divisor Sum 20,213,932
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #18141127 ← → #18141161

Radix Representation

Decimal 18141140
Binary 1000101001100111111010100 (25 bits)
Octal 0o105147724
Hexadecimal 0x114CFD4

Divisor Catalog (24)

1 2 4 5 10 20 151 302 604 755 1,510 3,020 6,007 12,014 24,028 30,035 60,070 120,140 907,057 1,814,114 3,628,228 4,535,285 9,070,570 18,141,140

Collatz Trajectory (89 steps to reach 1)

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

18,141,140 9,070,570 4,535,285 13,605,856 6,802,928 3,401,464 1,700,732 850,366 425,183 1,275,550 637,775 1,913,326 956,663 2,869,990 1,434,995 4,304,986 2,152,493 6,457,480 3,228,740 1,614,370 807,185 2,421,556 1,210,778 605,389 1,816,168 908,084 454,042 227,021 681,064 340,532 170,266 85,133 255,400 127,700 63,850 31,925 95,776 47,888 23,944 11,972 5,986 2,993 8,980 4,490 2,245 6,736 3,368 1,684 842 421 1,264 632 316 158 79 238 119 358 179 538

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #18,141,139 Browse Full Index Next Integer #18,141,141 →