4558
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7128
- Proper Divisor Sum (Aliquot Sum)
- 2570
- 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
- 2184
- Möbius Function
- -1
- Radical
- 4558
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 152
- 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
- yes
- Odd
- no
Appears in sequences
- a(0) = 1, a(1) = 4, and a(n) = a(n-1) + a(n-2) for n >= 2.at n=16A000285
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=43A000566
- Even heptagonal numbers (A000566).at n=21A014640
- a(n) = (tau(n^n)+n-1)/n.at n=65A016012
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=16A020399
- Number of conjugacy classes of subgroups of the alternating group A_n.at n=13A029726
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=18A031802
- a(n) = (2*n + 1)*(5*n + 1).at n=21A033571
- Coordination sequence T6 for Zeolite Code STT.at n=45A038421
- Convolution of A000917 with A000984 (central binomial coefficients).at n=4A038697
- T(n,n-3), array T as in A038792.at n=30A038793
- Expansion of (1+2*x)/(1-3*x+x^2).at n=8A054486
- Numbers k such that k*2^m-1 is prime for exactly one exponent m in the range 0<=m<=k.at n=45A061157
- Products of Wythoff pairs: [n*r]*[n*r^2], where [] is the floor function and r is the golden ratio, (1+sqrt(5))/2.at n=32A075312
- Vertical of triangular spiral in A051682.at n=31A081271
- a(n) = 2*n^2 + 3*n - 1.at n=46A091823
- If p(k) is the k-th prime, then the n-th set of 3 consecutive cousin prime pairs starts at p(a(n)).at n=16A095970
- Fibonacci sequence with initial values a(0) = 3 and a(1) = 1.at n=17A104449
- Expansion of -(7*x^2+3*x-1)*(2*x^2+2*x+1) / ((3*x^2+3*x+1)*(2*x^3+2*x^2+4*x+1)).at n=6A110687
- First pentagonal number, 2nd hexagonal number, 3rd heptagonal number, 4th octagonal number and then repeat the same pattern: 5th pentagonal, 6th hexagonal, 7th heptagonal, 8th octagonal, etc.at n=42A122061