5411
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6192
- Proper Divisor Sum (Aliquot Sum)
- 781
- 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
- 4632
- Möbius Function
- 1
- Radical
- 5411
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1.at n=33A003520
- Expansion of 1/(1 -x^5 -x^6 -x^7 - ...).at n=38A017899
- Multiplicity of highest weight (or singular) vectors associated with character chi_112 of Monster module.at n=36A034500
- Number of partitions of n into parts 4k+1 and 4k+3 with at least one part of each type.at n=53A035625
- Sum of antidiagonals of A060736.at n=21A061349
- a(n) = (2*n - 1)*(7*n^2 - 7*n + 3)/3.at n=10A063494
- Number of ways to partition the sum of all divisors of n (sigma(n), A000203) into distinct positive integers not greater than n.at n=33A079125
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2,3}.at n=35A079955
- Smallest number m such that the concatenation of n+1 numbers m^0, m^1,..., m^(n-1), m^n is a prime.at n=29A096469
- Partial sums of A000960.at n=26A099074
- Sum C(n-4k,k-1), k=0..floor(n/5).at n=37A099562
- a(n) = 1 + 2 * least i such that A103507(i)=n+1, 0 if no such i exists.at n=22A103508
- Indices of prime values of heptanacci-Lucas numbers A104621.at n=34A104622
- Numbers k such that k^6+6 is prime.at n=24A109836
- A triangular array related to A077028 and distributing the values of A007582.at n=39A110552
- Triangle read by rows: T(n,k) is the number of hill-free Dyck paths of semilength n having pyramid weight k.at n=59A114597
- Integer lengths of Theodorus-primes: numbers n such that the concatenation of the first n decimal digits of the Theodorus's constant sqrt(3) is prime.at n=6A119344
- Number of compositions of n such that the cardinality of the set of parts is 2.at n=17A131661
- Positive integers whose sixth power is the sum of seven sixth powers (smallest primitive solutions).at n=22A132410
- Row l=4 of array in A133713.at n=8A133714