4565
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 1483
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3280
- Möbius Function
- -1
- Radical
- 4565
- Omega Function (Ω)
- 3
- 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
- 108
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the number of partitions of n (the partition numbers).at n=29A000041
- Number of points on surface of square pyramid: 3*n^2 + 2 (n>0).at n=39A005918
- Coordination sequence T3 for Zeolite Code CAS.at n=42A008065
- Coordination sequence T1 for Zeolite Code MFS.at n=42A008173
- a(0) = 1, a(n) = 27*n^2 + 2 for n>0.at n=13A010017
- Second pentagonal numbers with odd index: a(n) = (2*n-1)*(3*n-1).at n=28A033568
- Number of partitions of n into even parts.at n=58A035363
- Earliest sequence where a(a(n))=number of partitions of n.at n=31A038752
- Nonprime partition numbers.at n=22A038753
- Number of partitions satisfying 0 < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=29A039896
- Denominators of convergents to A058914.at n=18A048818
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 8.at n=26A051973
- Odd partition numbers.at n=15A052003
- Number of ways to partition 2n+1 into positive integers.at n=14A058695
- a(n) = p(P(n)), P = primes (A000040), p = partition numbers (A000041).at n=9A058698
- Number of ways to sum numbers from 1 to n to the n-th prime.at n=18A067953
- Multiples of 11 in which the even positioned digits from left are odd and the odd positioned ones are even.at n=33A080467
- Number of partitions of n with at least one odd part.at n=29A086543
- Partition numbers of the form 3*k+2.at n=8A087185
- Smallest partition number with n-th prime as factor.at n=22A091689