2460
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 7056
- Proper Divisor Sum (Aliquot Sum)
- 4596
- 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
- 640
- Möbius Function
- 0
- Radical
- 1230
- Omega Function (Ω)
- 5
- 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
- 71
- 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
- Number of permutations of [n] with no 3-term arithmetic progression.at n=11A003407
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=20A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=20A004965
- Expansion of a cusp form of weight 8 for Gamma_1(6).at n=9A006354
- Number of binary tree partitions.at n=8A006365
- Coordination sequence T5 for Zeolite Code DDR.at n=31A008075
- Coordination sequence T6 for Zeolite Code MTW.at n=33A008201
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=41A011908
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=42A011910
- Multiplicity of K_3 in K_n.at n=41A014557
- Coordination sequence T2 for Zeolite Code TER.at n=33A016434
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MEI = ZSM-18 Nan[AlnSi34-nO68].28H2O (n=2.1-5.7) starting with a T4 atom.at n=11A019146
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=29A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=29A020337
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=16A023542
- Self-convolution of natural numbers >= 3.at n=19A023551
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence).at n=24A023866
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=a(2)=1 and a(3)=3.at n=13A024947
- Central octonomial coefficients: largest coefficient of (1+x+...+x^7)^n.at n=5A025013
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 24.at n=31A031522