5226
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11424
- Proper Divisor Sum (Aliquot Sum)
- 6198
- 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
- 1584
- Möbius Function
- 1
- Radical
- 5226
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 28
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- 9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.at n=39A001106
- a(n) = (n^4 + n^2 + 2*n)/4.at n=12A006528
- Coordination sequence T6 for Zeolite Code DDR.at n=45A008076
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=38A026051
- (d(n)-r(n))/5, where d = A008778 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=50A026053
- Even 9-gonal (or enneagonal) numbers.at n=19A028992
- a(n) = (2*n+1)*(7*n+1).at n=19A033572
- Numbers whose base-4 representation contains exactly three 1's and three 2's.at n=30A045103
- a(n) = a(n-1) + Sum_{k=0..n-3} a(k) for n >= 2, a(0)=1, a(1)=2.at n=16A049853
- 18-gonal (or octadecagonal) numbers: a(n) = n*(8*n-7).at n=26A051870
- Numbers k such that 3*7^k + 2 is prime.at n=17A059041
- Triangle T(n,k) (1 <= k <= n) read by rows: T(n,k) is the number of permutations of [1..n] with k components.at n=49A059438
- Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3.at n=24A064238
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,17.at n=2A064245
- Numbers with no zeros in their cubes such that the products of the digits of their cubes are also cubes.at n=36A067071
- Numbers k such that the simple continued fraction for (1+1/k)^k contains k.at n=45A071527
- Square root of coefficients of power series: A083352(x)^2 + A083352(x) - 1; term-by-term square root of A083353.at n=71A083354
- a(1) = 1, a(2) = 2, a(3) = 3, a(n+3) = a(n) + a(n+1).at n=29A084338
- Expansion of (1-3*x)/((1-4*x)*(1-5*x)).at n=5A085351
- Triangle read by rows. T(n, k) = A059438(n, k) for 1 <= k <= n, and T(n, 0) = n^0.at n=60A085771