4564
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9184
- Proper Divisor Sum (Aliquot Sum)
- 4620
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1944
- Möbius Function
- 0
- Radical
- 2282
- 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
- 108
- 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
- -1 + number of partitions of n.at n=29A000065
- Number of partitions of n into relatively prime parts. Also aperiodic partitions.at n=29A000837
- a(n) = n*(5*n^2 - 2)/3.at n=14A004466
- Coordination sequence T5 for Zeolite Code HEU.at n=44A008120
- Coordination sequence T3 for Zeolite Code MEP.at n=40A008159
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17).at n=49A017866
- Pseudoprimes to base 25.at n=43A020153
- Pseudoprimes to base 53.at n=40A020181
- Pseudoprimes to base 65.at n=27A020193
- Pseudoprimes to base 85.at n=37A020213
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=14A020401
- Least m such that if r and s in {1/1, 1/3, 1/6,..., 1/C(n+1,2)} satisfy r < s, then r < k/m < s for some integer k.at n=28A024826
- a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A027170.at n=9A027178
- Number of distinct products ijk with 0 <= i < j < k <= n.at n=43A027429
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=12A031804
- Trajectory of 3 under map n->15n+1 if n odd, n->n/2 if n even.at n=14A037105
- Numerators of continued fraction convergents to sqrt(526).at n=4A042006
- Numbers whose base-5 representation contains exactly two 1's and three 2's.at n=33A045228
- 14-gonal (or tetradecagonal) numbers: a(n) = n*(6*n-5).at n=28A051866
- Third spoke of a hexagonal spiral.at n=39A056107