7533
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11648
- Proper Divisor Sum (Aliquot Sum)
- 4115
- 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
- 4860
- Möbius Function
- 0
- Radical
- 93
- Omega Function (Ω)
- 6
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 88
- 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
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=27A020896
- n written in fractional base 9/7.at n=30A024655
- Prefix primes in base 8 (written in base 8).at n=43A024768
- Lucky numbers with size of gaps equal to 16 (lower terms).at n=23A031898
- Arrange digits of cubes in descending order.at n=15A032554
- Multiplicity of highest weight (or singular) vectors associated with character chi_59 of Monster module.at n=50A034447
- Euler transform of powers of 2 [1,2,4,8,16,...].at n=11A034691
- Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=35A035953
- Numbers ending with '3' that are the difference of two positive cubes.at n=18A038858
- Odd numbers divisible by exactly 6 primes (counted with multiplicity).at n=22A046319
- Integers > 1 whose prime divisors are all Mersenne primes (i.e., of the form (2^p - 1)).at n=47A056652
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n.at n=36A057263
- Binomial transform of Chebyshev polynomial coefficients A001793.at n=6A081278
- Square array of binomial transforms of Chebyshev polynomial coefficients.at n=42A081281
- a(n) = 3^(n-2)*n*(5*n+1)/2.at n=6A084900
- A card-arranging problem: values of n such that there exists a permutation p_1, ..., p_n of 1, ..., n such that i + p_i is a fifth power for every i.at n=27A096906
- Expansion of g.f.: (1+x-sqrt(1-2*x-7*x^2-8*x^3-4*x^4))/(2*(1+x+x^2)).at n=9A108630
- Numbers k such that the k-th and (k+1)-th primes have the same sum of squares of digits.at n=31A109182
- Numbers n for which 12n+1, 12n+5, 12n+7 and 12n+11 are primes.at n=35A123985
- a(n) = 3^n*pentanacci(n) or (3^n)*A023424(n-1).at n=4A127222