4090
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7380
- Proper Divisor Sum (Aliquot Sum)
- 3290
- 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
- 1632
- Möbius Function
- -1
- Radical
- 4090
- 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
- 64
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=29A000125
- Number of partitions into non-integral powers.at n=12A000263
- Numbers k such that 4!*(2k-5)!/(k!*(k-1)!) is an integer.at n=41A004784
- Coordination sequence T1 for Zeolite Code DDR.at n=40A008071
- If a, b in sequence, so is ab+6.at n=37A009307
- Coordination sequence T5 for Zeolite Code VNI.at n=39A009911
- a(n) = 4^n - n.at n=6A024037
- a(n) = least m such that if r and s in {1/1, 1/2, 1/3, ..., 1/n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=29A024846
- Coordination sequence T4 for Zeolite Code IFR.at n=45A024985
- Numbers having three 7's in base 8.at n=23A043451
- Numbers k such that the string 0,9 occurs in the base 10 representation of k but not of k-1.at n=43A044341
- Numbers whose base-4 representation contains exactly two 2's and four 3's.at n=14A045147
- Number of directed multigraphs with loops on 3 nodes with n arcs.at n=9A050927
- a(n) = T(n,n-5), array T as in A055807.at n=12A055810
- Triangle T(n,k) of k-block T_0-tricoverings of an n-set, n >= 3, k = 0..2*n.at n=23A059530
- Index of the smallest prime which follows square of n-th prime.at n=44A062773
- Permutation of N induced by rotating the node 7 right in the infinite planar binary tree shown at A065658.at n=30A065672
- Permutation of N induced by the order-preserving bijection QuQR2toQuQR1 on rationals.at n=59A065935
- Smallest x such that prime(x) == n (mod (x-pi(x)-1)).at n=23A073326
- a(n) = 3*a(n-1) - a(n-2) - 3*a(n-3) + 2*a(n-4).at n=12A084174