5174
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8400
- Proper Divisor Sum (Aliquot Sum)
- 3226
- 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
- 2376
- Möbius Function
- -1
- Radical
- 5174
- 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
- 147
- 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(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=26A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=26A004946
- Number of 4-connected 4-regular polyhedra with n nodes.at n=13A007023
- Coordination sequence for FeS2-Pyrite, Fe position.at n=33A009957
- Expansion of 1/(1 - x^10 - x^11 - x^12 - x^13 - x^14 - x^15 - x^16).at n=72A017892
- n written in fractional base 9/5.at n=49A024653
- Number of optimal binary prefix-free codes with n words all ending in 1.at n=36A055167
- a(n) = Sum_{k=1..n} k^(n-k)*binomial(n,k-1).at n=6A074728
- Number of primes corresponding to n-th primeval number A072857(n).at n=48A076497
- Numbers k whose digits are all contained, in any order, within the digits of prime(k).at n=45A080794
- EULER transform of A001511.at n=20A092119
- Partial sums of primes that are not Chen primes (starting with 1).at n=23A118483
- Indices of Fibonacci numbers in A073656, i.e., A073656(n) = F(a(n)).at n=67A119755
- a(n) = 9*a(n-2) - 4*a(n-3) for n > 2 with a(0)=1, a(1)=2.at n=9A122109
- a(n) = 225*n - 1.at n=22A158227
- Number of nX2 1..3 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order.at n=13A166796
- Number of increasing sequences of n integers x(1),...,x(n) with values in 1..4*n such that x(j) divides x(k) iff j divides k.at n=22A180381
- Number of lower triangles of a 3 X 3 0..n array with no element differing from any of its horizontal or vertical neighbors by more than one.at n=30A194932
- Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly three ways, and new values 0..1 introduced in row major order.at n=14A204746
- a(n) = n*(n+1) + (n+2)*(n+3) + (n+4)*(n+5).at n=39A217775