4036
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
- 6
- Divisor Sum
- 7070
- Proper Divisor Sum (Aliquot Sum)
- 3034
- 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
- 2016
- Möbius Function
- 0
- Radical
- 2018
- 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
- 113
- 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
- Cluster series for square lattice.at n=17A003203
- 'Eban' numbers (the letter 'e' is banned!).at n=46A006933
- Coordination sequence T1 for Zeolite Code ANA.at n=41A008031
- Coordination sequence T1 for Zeolite Code RTH.at n=44A009893
- Coordination sequence T5 for Zeolite Code CGF.at n=44A019455
- a(n) = a(n-1) + a(n-2) + 1 for n>1, a(0)=0, a(1)=5.at n=15A022310
- Numbers k such that Fibonacci(k) == 3 (mod k).at n=43A023175
- Number of partitions satisfying (cn(2,5) <= cn(1,5) and cn(3,5) <= cn(1,5) and cn(2,5) <= cn(4,5) and cn(3,5) <= cn(4,5)).at n=36A036802
- Coordination sequence T3 for Zeolite Code MSO.at n=44A047965
- a(n) is the number of integers whose sum of divisors is 6^n.at n=16A048253
- Numbers k such that k and k+1 are modest (cf. A054986).at n=7A055018
- Numbers n such that n and 2^n end with the same two digits.at n=40A067865
- Number of odd entries in A004001 that are <= 2^n.at n=13A095902
- Column 3 of triangle A123610.at n=9A123613
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=22A123997
- Number of rooted identity trees on n nodes with thinning limbs.at n=17A124346
- Number of multiplex juggling sequences of length n, base state <2,1> and hand capacity 2.at n=5A136777
- Matrix square of triangle T = A141712, where the n-th diagonal of T equals the BINOMIAL transform of the (n-1)-th diagonal of T^2.at n=24A141715
- a(n) = 2*n^2 + 12*n + 4.at n=41A154575
- Numbers expressible as a^2 + k b^2 with nonzero integers a,b, for k=2, k=3, k=5 and k=7.at n=17A155707