7452
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
- 30
- Divisor Sum
- 20328
- Proper Divisor Sum (Aliquot Sum)
- 12876
- 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
- 2376
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 70
- 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
- a(n) = (2*n - 13)*n^2.at n=18A015246
- Molien series for Hecke group H_{3,4}.at n=18A027631
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 24 (most significant digit on right).at n=13A029517
- Number of partitions satisfying cn(0,5) + cn(1,5) <= cn(2,5) + cn(3,5) and cn(0,5) + cn(4,5) <= cn(2,5) + cn(3,5).at n=35A039886
- Erroneous version of A112146.at n=15A058093
- Numbers k such that phi(x) = k has exactly 9 solutions.at n=38A060672
- a(n) = 9*(n-2)*(5*n-13)*(5*n^2 - 19*n + 16)/2.at n=3A060786
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 24 (most significant digit on right, least significant zeros not written).at n=19A061953
- Sum of first n^2 odd primes (=S) is divisible by n and S/n = n mod 2.at n=7A064013
- Duplicate of A060786.at n=3A064196
- The minimal number which has multiplicative persistence 8 in base n.at n=8A064872
- Number of pentagonal regions in regular n-gon with all diagonals drawn.at n=31A067152
- a(n)=Sum_{j = 0..n} binomial(phi(n),phi(j)).at n=20A073317
- a(n) is the absolute value of p minus A004086(p), where (p-2,p) is the n-th pair of twin primes.at n=50A088490
- n times the coefficient of x^n in log[1 + sum(k>=0, x^2^k)].at n=44A092462
- Sum of the sides of ordered 2 X 2 prime squares.at n=39A105088
- McKay-Thompson series of class 9b for the Monster group.at n=23A112146
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 11 multiples of n-1, n-2, ..., 1, for n>=1.at n=37A113748
- Expansion of g.f. x*(1 +30*x +49*x^2 -71*x^3 -116*x^4)/((1+2*x)*(1-2*x^2) *(1-2*x-4*x^2)).at n=6A121960
- (Sum of the squares of the quadratic residues of prime(n)) / prime(n).at n=44A125614