4400
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 11532
- Proper Divisor Sum (Aliquot Sum)
- 7132
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1600
- Möbius Function
- 0
- Radical
- 110
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 95
- 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
- Generalized sum of divisors function.at n=44A002132
- Eulerian numbers of the second kind: <<n+3, n>>.at n=3A002539
- Discriminants of totally real quartic fields (see comments).at n=13A002769
- Second-order Eulerian numbers <<n,3>>.at n=3A006260
- Expansion of 6-dimensional cusp form (eta(q) * eta(q^3))^6 in powers of q.at n=31A007332
- Maximal Eulerian numbers of second kind.at n=6A007347
- Second-order Eulerian triangle T(n,k), 1 <= k <= n.at n=18A008517
- Coordination sequence T7 for Zeolite Code VNI.at n=41A009913
- Coordination sequence for Ni2In, Position Ni2.at n=20A009942
- Expansion of 1/((1-4*x)*(1-7*x)*(1-11*x)).at n=3A019623
- Expansion of 1/((1-x)(1-2x)(1-9x)(1-10x)).at n=3A021284
- Discriminants of totally real quartic fields.at n=16A023680
- n written in fractional base 8/4.at n=48A024646
- (d(n)-r(n))/5, where d = A008778 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=47A026053
- Number of reversible strings with n-1 beads of 2 colors. 4 beads are black. String is not palindromic.at n=18A032091
- a(n) = floor(n^3 / Pi).at n=24A032633
- Every run of digits of n in base 10 has length 2.at n=36A033008
- a(n) = 11*n^2.at n=20A033584
- Coordination sequence T1 for Zeolite Code CFI.at n=44A033599
- Expansion of q^(-3) * (eta(q) * eta(q^8))^8 in powers of q.at n=22A034433