5224
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9810
- Proper Divisor Sum (Aliquot Sum)
- 4586
- 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
- 2608
- Möbius Function
- 0
- Radical
- 1306
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 28
- 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
- Index of central binomial coefficient C(2n,n) within A006987.at n=11A009561
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=33A020397
- Numbers k such that Fib(k) == -21 (mod k).at n=42A023168
- 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 35.at n=24A031533
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 4 (mod 5).at n=48A035576
- Base-6 palindromes that start with 4.at n=15A043013
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=34A046015
- Record subsequence of b(3k+2), b()=A048142().at n=29A051058
- Difference between length (A005341) and sum of digits (A004977) of n-th term in Look and Say Sequence (A005150).at n=31A056635
- Composite n such that phi(n+4) = phi(n)+4.at n=35A056773
- a(n) is the least k in A002977 with a gap of n. Also n + a(n) is the least k in A007448 which is repeated n times.at n=22A058361
- Triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} defined by a(0,0)=1, a(n,0)=A000670(n), a(n,n)=A000629(n), a(n,k) = a(n,k-1) + a(n-1,k-1); a(n+1,0) = Sum_{k=0..n} a(n,k).at n=22A073146
- Least k such that decimal representation of k*n contains only digits 0 and 8.at n=16A096687
- Numbers n such that pi(n) = prime(d_1)*prime(d_2)*...*prime(d_k) where d_1 d_2 ... d_k is the decimal expansion of n.at n=1A098683
- a(n)=4a(n-1)-4a(n-2)+2a(n-3).at n=9A099216
- Odd squares written backwards and sorted.at n=33A107313
- Non-cubefree numbers k such that 2k+1 is also non-cubefree (A046099).at n=35A115170
- Positive numbers that are not the sum of two squares and a positive Fibonacci number.at n=12A115176
- Number of permutations of length n which avoid the patterns 2134, 3241, 4312.at n=8A116753
- Numbers n such that n^3 is zeroless pandigital.at n=17A124628