5005
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 3059
- 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
- 2880
- Möbius Function
- 1
- Radical
- 5005
- 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
- no
- Odd
- yes
Appears in sequences
- Coefficient of x^5 in expansion of (1 + x + x^2)^n.at n=10A000574
- Figurate numbers or binomial coefficients C(n,6).at n=15A000579
- a(n) = binomial coefficient C(n,9).at n=6A000582
- Stirling numbers of the first kind: s(n+2, n).at n=13A000914
- a(n) = binomial(5*n,2*n).at n=3A001450
- Binomial coefficient C(2n+1, n-1).at n=6A002054
- Number of diagonal dissections of a convex n-gon into n-5 regions.at n=4A002056
- Degrees of irreducible representations of alternating group A_13.at n=32A003868
- Degrees of irreducible representations of symmetric group S_13.at n=58A003877
- Degrees of irreducible representations of symmetric group S_13.at n=57A003877
- Degrees of irreducible representations of Suzuki group Suz.at n=6A003902
- Degrees of irreducible representations of Suzuki group Suz.at n=7A003902
- Triangulations of the disk G_{2,n}.at n=6A005498
- 5-dimensional pyramidal numbers: a(n) = n*(n+1)*(n+2)*(n+3)*(2n+3)/5!.at n=10A005585
- Triangle of expansions of powers of x in terms of Chebyshev polynomials T_n (x).at n=65A008311
- Irregular triangle read by rows: one half of the coefficients of the expansion of (2*x)^n in terms of Chebyshev T-polynomials.at n=70A008314
- Expansion of (1-x^10) / (1-x)^10.at n=6A008492
- 8-dimensional centered tetrahedral numbers.at n=6A008502
- Binomial coefficient C(15,n).at n=9A010931
- Binomial coefficient C(15,n).at n=6A010931