4815
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8424
- Proper Divisor Sum (Aliquot Sum)
- 3609
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2544
- Möbius Function
- 0
- Radical
- 1605
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 72
- 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
- no
- Odd
- yes
Appears in sequences
- Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=33A001522
- Number of planted binary phylogenetic trees with n labels.at n=6A006678
- Coordination sequence T5 for Zeolite Code MTW.at n=46A008200
- Expansion of Product_{m>=1} (1-m*q^m)^18.at n=8A022678
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=29A027578
- 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 13.at n=40A031511
- Coordination sequence T2 for Zeolite Code CFI.at n=46A033600
- Base-6 palindromes that start with 3.at n=39A043012
- 13-gonal (or tridecagonal) numbers: a(n) = n*(11*n - 9)/2.at n=30A051865
- T(n,n-4), where T is the array in A055830.at n=26A055831
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 75 ).at n=35A063348
- Larger terms of the pairs (a < b) in the sequence {a,b}-> {Max[{a,b}]-Min[{a,b}],k*Min[{a,b}]} with k=3 and the first pair {a=1,b=2}. See A075256.at n=32A075258
- Convoluted convolved Fibonacci numbers G_j^(7).at n=8A089094
- Numbers k such that 7^k - 2 is a prime.at n=21A090669
- a(n) = n*(n+1)^2*(6*n^3-5*n^2+3*n+2)/24.at n=5A101379
- Least multiple of n such that every partial concatenation followed by a 3 is prime.at n=44A111437
- Numbers m such that (15m-4, 15m-2, 15m+2, 15m+4) is a prime quadruple.at n=29A112540
- Multiples of 15 containing a 15 in their decimal representation.at n=26A121035
- Integers of the form (p(n+1)*p(n) - 1)/(p(n+1) - p(n)) where p(n) denotes the n-th prime.at n=36A128490
- Row sums of triangle A131245.at n=11A131246