5154
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10320
- Proper Divisor Sum (Aliquot Sum)
- 5166
- 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
- 1716
- Möbius Function
- -1
- Radical
- 5154
- 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
- 28
- 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
- Coordination sequence for root lattice B_9.at n=2A022151
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ... + a(n-3)*a(3) for n >= 4, with initial terms 0, 1, 2, 0.at n=16A025251
- Cube root of A030690.at n=36A030691
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 70.at n=19A031568
- Numerators of continued fraction convergents to sqrt(415).at n=6A041788
- Base-7 palindromes that start with 2.at n=23A043016
- Number of rooted trees with n nodes with every leaf at height 3.at n=21A048808
- Starting positions of strings of 2 8's in the decimal expansion of Pi.at n=40A050263
- Numbers k such that k | sigma_9(k) - phi(k)^9.at n=16A055703
- Numbers n such that n | 7^n + 5^n + 3^n +1.at n=19A057830
- Triangle T(n,k) read by rows giving number of fixed 4 X k polyominoes with n cells (n >= 4, 1<=k<=n-3).at n=25A059680
- Triangle T(n,k) giving number of fixed 5 X k polyominoes with n cells (n >= 5, 1<=k<=n-4).at n=18A059681
- Numbers k such that prime(k+3)-(k+3)*tau(k+3) = prime(k)-k*tau(k) where tau(k) = A000005(k) is the number of divisors of k.at n=36A067356
- Sum of generalized tribonacci numbers (A001644) and reflected generalized tribonacci numbers (A073145).at n=14A075092
- Initial values for the iteration of the function f(x) = A063919(x) such that the iteration ends in a 5-cycle, i.e., in A097024.at n=38A097035
- Square array A(n,k) read by antidiagonals: coordination sequence for lattice B_n.at n=47A103883
- Each term is previous term plus ceiling of geometric mean of all previous terms.at n=54A114830
- Sums of three consecutive pentagonal numbers.at n=33A129863
- a(n) is the smallest m such that m^3 begins with n^2.at n=36A138173
- Indices k such that A020510(k)=Phi[k](-11) is prime, where Phi is a cyclotomic polynomial.at n=49A138919