1880
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4320
- Proper Divisor Sum (Aliquot Sum)
- 2440
- 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
- 736
- Möbius Function
- 0
- Radical
- 470
- 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
- 130
- 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
- Self-convolution of Lucas numbers.at n=9A004799
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=40A004963
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=15A005735
- Greatest k such that binomial(k,n) has fewer than n distinct prime factors.at n=16A005735
- Coordination sequence T5 for Zeolite Code AET.at n=30A008011
- Coordination sequence T10 for Zeolite Code EUO.at n=27A008096
- Coordination sequence T4 for Zeolite Code MOR.at n=28A008185
- Coordination sequence T1 for Zeolite Code GIS.at n=32A008266
- Expansion of e.g.f. tan(x)*tan(sin(x)), even powers only.at n=4A009748
- Coordination sequence for MgNi2, Position Ni3.at n=11A009934
- Coordination sequence for MgZn2, Position Zn2.at n=11A009938
- Expansion of 1/((1-x)*(1-7*x)*(1-8*x)).at n=3A016249
- Sum of gcd(x, y) for 1 <= x, y <= n.at n=27A018806
- a(1) = 2; a(n+1) = a(n)-th composite.at n=21A022450
- The sequence M(n) in A022905.at n=18A022908
- Number of compositions into sums of cubes.at n=40A023358
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = (Fibonacci numbers).at n=11A024872
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers >= 2), t = (F(2), F(3), F(4), ...).at n=10A024874
- a(n) = (d(n)-r(n))/2, where d = A026046 and r is the periodic sequence with fundamental period (0,1,0,1).at n=18A026047
- a(n) = n*(n+7).at n=40A028563