5410
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9756
- Proper Divisor Sum (Aliquot Sum)
- 4346
- 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
- 2160
- Möbius Function
- -1
- Radical
- 5410
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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 T1 for Zeolite Code DDR.at n=46A008071
- Coordination sequence T7 for Zeolite Code NES.at n=47A008211
- Coordination sequence for body-centered tetragonal lattice.at n=26A008527
- a(0) = 1, a(n) = 32*n^2 + 2 for n > 0.at n=13A010021
- Numbers k such that the continued fraction for sqrt(k) has period 19.at n=32A020358
- a(n) = n*(27*n + 1)/2.at n=20A022285
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 16.at n=3A031604
- Number of partitions of n such that cn(0,5) = cn(2,5) < cn(3,5) = cn(4,5) <= cn(1,5).at n=57A036854
- Base-6 palindromes that start with 4.at n=20A043013
- Coordination sequence T3 for Zeolite Code AEN.at n=46A047952
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=19A063356
- Harshad numbers which terminate in their digital sum.at n=30A070938
- Smallest index i such that next_prime( 2*prime(i) ) - 2*prime(i) = 2n - 1.at n=26A074973
- Interprimes which are of the form s*prime, s=10.at n=16A075285
- a(n) = 5*(n^2 - n + 2)/2.at n=47A082450
- a(0) = 1; for n > 0, a(n) = b(n) - n*b(n-1), b() = A076177().at n=9A092255
- Number of almost base-2 palindromic primes (A095743) in range ]2^n,2^(n+1)].at n=23A095753
- a(n) = Sum_{k=0..floor(n/5)} C(n-4k,k+1).at n=29A099559
- a(n) = (2*n-1)^2 + (2*n+1)^2.at n=26A108100
- a(1)=5; a(n)=floor((29+sum(a(1) to a(n-1)))/5).at n=38A120174