This site is supported by donations to The OEIS Foundation.
Ordered prime signatures
From OeisWiki
A positive integer with prime factorization
k 
(α1, α2, …, αk ) 
12 
(2, 1) 
(1, 2) 
18 
Ω (n) 
Ω (n) 
Orderings of ordered prime signatures
Cf. Orderings of ordered prime signatures.
Sequences
A055932 Least integer of each ordered prime signatures.

{1, 2, 4, 6, 8, 12, 16, 18, 24, 30, 32, 36, 48, 54, 60, 64, 72, 90, 96, 108, 120, 128, 144, 150, 162, 180, 192, 210, 216, 240, 256, 270, 288, 300, 324, 360, 384, 420, 432, 450, 480, 486, 512, 540, 576, ...}
A096903 Least integer of each ordered prime signatures (A055932) arranged by prime signature (each row starting with least integer of each prime signature, A025487).

{1, 2, 4, 6, 8, 12, 18, 16, 24, 54, 30, 32, 36, 48, 162, 60, 90, 150, 64, 72, 108, 96, 486, 120, 270, 750, 128, 144, 324, 180, 300, 450, 192, 1458, 210, 216, 240, 810, 3750, 256, 288, 972, 360, 540, 600, ...}
n 

{1, 2, 2, 4, 2, 6, 2, 8, 4, 6, 2, 12, 2, 6, 6, 16, 2, 18, 2, 12, 6, 6, 2, 24, 4, 6, 8, 12, 2, 30, 2, 32, 6, 6, 6, 36, 2, 6, 6, 24, 2, 30, 2, 12, 12, 6, 2, 48, 4, 18, 6, 12, 2, 54, 6, 24, 6, 6, 2, 60, 2, 6, 12, 64, 6, 30, ...}
See also
 Prime factorization
 Orderings of ordered prime signatures
 Prime signatures ([unordered] prime signatures, i.e. multiset of exponents)
 Orderings of prime signatures