4516
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 7910
- Proper Divisor Sum (Aliquot Sum)
- 3394
- 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
- 2256
- Möbius Function
- 0
- Radical
- 2258
- Omega Function (Ω)
- 3
- 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
- 38
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=46A001305
- From expansion of falling factorials.at n=8A005492
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=42A005891
- Coordination sequence T1 for Zeolite Code BRE.at n=44A008058
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=25A013935
- Conjecturally, a power of 2 written in base 3 cannot have this many 0's.at n=40A036462
- 5-wave sequence.at n=29A038201
- Fourth line of 5-wave sequence A038201.at n=7A038341
- Coordination sequence for Zeolite Code DFT.at n=46A038408
- Numerators of continued fraction convergents to sqrt(970).at n=5A042876
- Numbers whose base-7 representation contains exactly four 1's.at n=24A043400
- Starting from generation 6 add previous and next term yielding generation 7.at n=19A048453
- Numbers k such that x-4, x-2, x+2, x+4 are primes, where x = 30*k - 15.at n=42A061668
- Number of subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=46A064803
- Let M denote the 5 X 5 matrix with rows /1,1,1,1,1/1,1,1,1,0/1,1,1,0,0/1,1,0,0,0/1,0,0,0,0/ and A(n) = vector (x(n),y(n),z(n),t(n),u(n)) = M^n*A where A is the vector (1,1,1,1,1); then a(n) = t(n).at n=7A069006
- Sum of even-indexed primes.at n=31A077126
- Numbers k such that phi(k-1) < phi(k) < phi(k+1), where phi is the Euler totient function (A000010).at n=40A078776
- a(n) = 10*n^2 + 5*n + 1.at n=21A080860
- Number of symmetric sum-free subsets of {1,2,...,n-1} with sums taken mod n.at n=42A083041
- Terms in a specific cycle of length 29 of the map x->A098189(x).at n=13A098192