5150
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9672
- Proper Divisor Sum (Aliquot Sum)
- 4522
- 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
- 2040
- Möbius Function
- 0
- Radical
- 1030
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 147
- 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) = prime(n)*(prime(n-1)-1)/2.at n=24A014302
- Expansion of 1/((1-3*x)*(1-9*x)*(1-11*x)).at n=3A018091
- a(n) = position of 3*n^3 in A003072.at n=24A024970
- a(n) = 2*n*(4*n + 3).at n=25A033587
- Coefficients of cluster series for site percolation problem on b.c.c. lattice with 1st and 2nd neighbor bonds.at n=4A036395
- Truncated triangular pyramid numbers: a(n) = (n-7)*(n^2 + 10*n - 108)/6, n >= 8.at n=24A051941
- T(n,n-3), array T as in A054110.at n=22A054112
- Number of basis partitions (or basic partitions) of n.at n=44A066447
- Final members of groups in A076105.at n=23A076102
- Solution to the Dancing School Problem with 5 girls and n+5 boys: f(5,n).at n=6A079910
- Solution to the Dancing School Problem with n girls and n+6 boys: f(n,6).at n=4A079925
- G.f.: x*(1 - x + x^2)/((1-x)^2 * (1 - x - x^2)).at n=16A104161
- Positive numbers that are not the sum of two squares and a positive Fibonacci number.at n=11A115176
- Second elementary symmetric function of divisors of n.at n=53A119616
- Expansion of f(-x^4, -x^16) / psi(-x) in powers of x where psi() is a Ramanujan theta function and f(, ) is Ramanujan's general theta function.at n=47A122130
- The (1,6)-entry of the matrix M^n, where M is the 6 X 6 matrix {{1, 1, 1, 1, 1, 1},{1, 0, 0, 0, 1, 0},{1, 0, 0, 1, 0, 0},{1, 0, 1, 0, 0, 0},{1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0}}.at n=9A122365
- a(n) = prime(n)^2 - prime(n^2). Commutator of (primes, squares) at n.at n=25A123914
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 5 and 6.at n=65A136823
- a(n) = 190*n + 20.at n=27A139620
- a(n) = (1 + 3*n)*(4 + 3*n)/2.at n=33A145910