λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,453,075

18,453,075

3 × 52 × 17 × 41 × 353
Deficient Odd Composite

18,453,075 factors as 3 × 5^2 × 17 × 41 × 353. Its 48 positive divisors give a proper-divisor sum of 14,732,301, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 17 × 41 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,185,376
Proper Divisor Sum 14,732,301
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #18453059 ← → #18453079

Radix Representation

Decimal 18453075
Binary 1000110011001001001010011 (25 bits)
Octal 0o106311123
Hexadecimal 0x1199253

Divisor Catalog (48)

1 3 5 15 17 25 41 51 75 85 123 205 255 353 425 615 697 1,025 1,059 1,275 1,765 2,091 3,075 3,485 5,295 6,001 8,825 10,455 14,473 17,425 18,003 26,475 30,005 43,419 52,275 72,365 90,015 150,025 217,095 246,041 361,825 450,075 738,123 1,085,475 1,230,205 3,690,615 6,151,025 18,453,075

Collatz Trajectory (182 steps to reach 1)

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

18,453,075 55,359,226 27,679,613 83,038,840 41,519,420 20,759,710 10,379,855 31,139,566 15,569,783 46,709,350 23,354,675 70,064,026 35,032,013 105,096,040 52,548,020 26,274,010 13,137,005 39,411,016 19,705,508 9,852,754 4,926,377 14,779,132 7,389,566 3,694,783 11,084,350 5,542,175 16,626,526 8,313,263 24,939,790 12,469,895 37,409,686 18,704,843 56,114,530 28,057,265 84,171,796 42,085,898 21,042,949 63,128,848 31,564,424 15,782,212 7,891,106 3,945,553 11,836,660 5,918,330 2,959,165 8,877,496 4,438,748 2,219,374 1,109,687 3,329,062 1,664,531 4,993,594 2,496,797 7,490,392 3,745,196 1,872,598 936,299 2,808,898 1,404,449 4,213,348

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #18,453,074 Browse Full Index Next Integer #18,453,076 →