4596
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10752
- Proper Divisor Sum (Aliquot Sum)
- 6156
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1528
- Möbius Function
- 0
- Radical
- 2298
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 46
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of hill-free Dyck paths of semilength n+3 and having length of first descent equal to 1 (a hill in a Dyck path is a peak at level 1).at n=7A001558
- Number of partitions of floor(5n/2)-1 into n nonnegative integers each no more than 5.at n=28A001976
- Coordination sequence T2 for Zeolite Code MTT.at n=42A008190
- Coordination sequence T3 for Zeolite Code SGT.at n=42A008231
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MTN = ZSM-39 [Si136O272].qR starting with a T1 atom.at n=11A019185
- Number of partitions of n into parts not of the form 11k, 11k+4 or 11k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=34A035947
- Coordination sequence T5 for Zeolite Code ESV.at n=45A038414
- Numbers having three 6's in base 9.at n=8A043479
- Numbers whose base-3 representation contains exactly four 0's and no 1's.at n=29A044985
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=8A045013
- Coordination sequence T2 for Zeolite Code ISV.at n=47A047959
- a(n)=T(n,n+2), array T as in A049723.at n=37A049730
- Number of factorizations with 3 levels of parentheses indexed by prime signatures. A050340(A025487).at n=23A050341
- Triangular array generated by its row sums: T(n,0)=1 for n >= 0, T(1,1)=2, T(n,k)=T(n,k-1)+d*r(n-k) for k=2,3,...,n, d=(-1)^(k+1), n >= 2, r(h)=sum of the numbers in row h of T.at n=40A054098
- Triangle T(n,k) giving number of hill-free Dyck paths of length 2n and having height of first peak equal to k.at n=47A065602
- Sum of the elements in the coprime subsets of the integers 1 to n.at n=11A087081
- Number of A095321-primes in range ]2^n,2^(n+1)].at n=18A095331
- Number of partitions of n into parts congruent to {2, 3, 4} mod 6.at n=57A097451
- Numbers k such that k divides the sum of the digits of k^(2k).at n=17A108859
- Index k of the least colossally abundant number c=A004490(k) with sigma(c)/c >= n.at n=17A110443