2760
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 5880
- 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
- 704
- Möbius Function
- 0
- Radical
- 690
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- Normalized total height of rooted trees with n nodes.at n=5A001863
- Number of 2n-step polygons on honeycomb.at n=10A005396
- Related to representations as sums of Fibonacci numbers.at n=44A006133
- a(n) = denominator of Bernoulli(2n)/(2n).at n=21A006953
- Coordination sequence T3 for Zeolite Code MEP.at n=31A008159
- Coordination sequence T5 for Zeolite Code CON.at n=37A009872
- a(n) = floor( n*(n-1)*(n-2)/5 ).at n=25A011887
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=21A013935
- Expansion of 1/((1-3x)(1-4x)(1-11x)).at n=3A017065
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T1 atom.at n=11A019252
- a(0)=0, a(2*n) = 2*a(n) + 2*a(n-1) + n^2 + n, a(2*n+1) = 4*a(n) + (n+1)^2.at n=43A022560
- Numbers in which all pairs of consecutive base-5 digits differ by 2.at n=29A033083
- Positions of the incrementally largest terms in the continued fraction expansion of zeta(3), offset 1 variant.at n=9A033167
- E.g.f. satisfies A(x) = x*(1+A(A(x))), A(0)=0.at n=4A035049
- Limit of the position of the n-th partition into parts 5k+2 or 5k+3 in the list of all integer partitions sorted in reverse lexicographic order, for integers == 4 (mod 5).at n=40A035409
- Coordination sequence T3 for Zeolite Code SFF.at n=35A038433
- Number of partitions satisfying cn(0,5) <= cn(2,5) + cn(3,5).at n=27A039840
- Numbers whose base-14 representation has exactly 4 runs.at n=1A043665
- Numbers n such that string 1,0 occurs in the base 8 representation of n but not of n-1.at n=42A044195
- Numbers n such that string 0,6 occurs in the base 9 representation of n but not of n-1.at n=36A044257