7504
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 16864
- Proper Divisor Sum (Aliquot Sum)
- 9360
- 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
- 3168
- Möbius Function
- 0
- Radical
- 938
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 26
- 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
- Expansion of e.g.f.: tan(tanh(log(1+x))).at n=8A009711
- Coordination sequence for sigma-CrFe, Position Xb.at n=22A009960
- Numbers whose set of base-12 digits is {1,4}.at n=27A032824
- Number of subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=32A064803
- Number of non-unimodal compositions of n into distinct terms.at n=25A072707
- Expansion of 1/(1 - x + x^2 + 2*x^3).at n=20A077952
- Expansion of 1/(1+x+x^2-2*x^3).at n=20A077975
- a(n) = (9*n^2 - 3*n + 2)/2.at n=41A080855
- a(n) = (3*10^n + 2^n)/4.at n=4A083234
- Numbers k such that numerator of Bernoulli(2*k) is divisible by 37 and 59, the first two irregular primes.at n=30A092231
- a(n) = smallest m such that numerator of Bernoulli(2m) is divisible by the first n irregular primes.at n=2A093060
- Numbers k such that k + (largest digit of k)! is a square.at n=42A095927
- 4th diagonal of triangle in A059317.at n=34A106058
- Floor of sum of the first 10^n cube roots.at n=3A136269
- Numbers that are multiples of 28 and contain both a 4 and a 7.at n=22A171077
- Table, read by antidiagonals, in which the n-th row comprises A214206(n) 0 followed by a second-order recursive series G in which each product G(i)*G(i+1) lies in the same row of A001477 (interpreted as a square array).at n=37A182431
- Triangle T(n,k) for A(x)^k=sum(n>=k T(n,k)*x^n), where o.g.f. A(x) satisfies A(x)=(a+b*x*A(x))/(c-d*x*A(x)), a=1,b=2,c=1,d=2.at n=51A183875
- Number of permutations of 1..n with displacements restricted to {-4,-2,-1,0,3}.at n=13A189586
- Number of right triangles on a (n+1) X 4 grid.at n=21A189808
- Number of (n+1) X 4 0..1 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) nondecreasing in column and row directions, respectively.at n=15A204646