1288
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 1592
- 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
- 528
- Möbius Function
- 0
- Radical
- 322
- Omega Function (Ω)
- 5
- 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
- 101
- 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
- Heptagonal numbers (or 7-gonal numbers): n*(5*n-3)/2.at n=23A000566
- Triangle in which k-th number (0<=k<=n) in n-th row (0<=n) is number of dodecads in Golay code G_24 containing k given points and missing n-k given points.at n=2A001294
- Triangle in which k-th number (0<=k<=n) in n-th row (0<=n) is number of dodecads in Golay code G_24 containing k given points and missing n-k given points.at n=1A001294
- Hit polynomials.at n=5A001885
- 2nd differences are periodic.at n=26A002082
- Weight distribution of [ 23,12,7 ] binary perfect Golay code.at n=12A002289
- Weight distribution of [ 23,12,7 ] binary perfect Golay code.at n=11A002289
- Number of alternating prime knots with n crossings.at n=11A002864
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=22A003451
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=4A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=4A004967
- Number of walks of length 2n+6 in the path graph P_7 from one end to the other.at n=4A005022
- Number of compact-rooted directed animals of size n having 3 source points.at n=6A005775
- Weighted count of partitions with distinct parts.at n=22A005895
- a(n) = (n+1)*(n^2+n+2)/2; g.f.: (1 + 2*x^2) / (1 - x)^4.at n=13A006000
- Coordination sequence T1 for Zeolite Code DOH.at n=22A008078
- Coordination sequence T2 for Zeolite Code MTT.at n=22A008190
- Theta series of {D_7}* lattice.at n=24A008423
- Theta series of D_7 lattice.at n=3A008429
- Theta series of {D_7}^{+} packing.at n=24A008435