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Atlas › Integer Profiles › Node 18,524,090

18,524,090

2 × 5 × 132 × 97 × 113
Deficient Even Composite

18,524,090 factors as 2 × 5 × 13^2 × 97 × 113. Its 48 positive divisors give a proper-divisor sum of 18,276,478, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13^2 × 97 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 36,800,568
Proper Divisor Sum 18,276,478
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #18524071 ← → #18524117

Radix Representation

Decimal 18524090
Binary 1000110101010011110111010 (25 bits)
Octal 0o106523672
Hexadecimal 0x11AA7BA

Divisor Catalog (48)

1 2 5 10 13 26 65 97 113 130 169 194 226 338 485 565 845 970 1,130 1,261 1,469 1,690 2,522 2,938 6,305 7,345 10,961 12,610 14,690 16,393 19,097 21,922 32,786 38,194 54,805 81,965 95,485 109,610 142,493 163,930 190,970 284,986 712,465 1,424,930 1,852,409 3,704,818 9,262,045 18,524,090

Collatz Trajectory (195 steps to reach 1)

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

18,524,090 9,262,045 27,786,136 13,893,068 6,946,534 3,473,267 10,419,802 5,209,901 15,629,704 7,814,852 3,907,426 1,953,713 5,861,140 2,930,570 1,465,285 4,395,856 2,197,928 1,098,964 549,482 274,741 824,224 412,112 206,056 103,028 51,514 25,757 77,272 38,636 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592

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