5148
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
- 36
- Divisor Sum
- 15288
- Proper Divisor Sum (Aliquot Sum)
- 10140
- 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
- 1440
- Möbius Function
- 0
- Radical
- 858
- Omega Function (Ω)
- 6
- 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
- yes
- 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) = 3*binomial(2n-1,n).at n=6A003409
- Degrees of irreducible representations of alternating group A_13.at n=33A003868
- Degrees of irreducible representations of symmetric group S_13.at n=59A003877
- Degrees of irreducible representations of symmetric group S_13.at n=60A003877
- a(n) = n^2*(n^2 - 1)/4.at n=12A006011
- Coordination sequence T3 for Zeolite Code MTN.at n=44A008188
- a(n) = 11*(n+1)*binomial(n+2,11)/2.at n=2A027784
- Even elements in the 5-Pascal triangle A028313.at n=44A028317
- Even elements in the 5-Pascal triangle A028313.at n=47A028317
- Distinct elements in the 5-Pascal triangle A028313.at n=53A028318
- Distinct even elements in the 5-Pascal triangle A028313.at n=25A028320
- Even elements to the right of the central elements of the 5-Pascal triangle A028313.at n=19A028321
- Elements to the right of the central elements of the 5-Pascal triangle A028313.at n=58A028323
- Elements to the right of the central elements of the 5-Pascal triangle A028313 that are not 1.at n=44A028324
- a(n) = 6*(n+1)*(2*n+6)!/((n+3)!*(n+5)!).at n=6A028379
- a(n) = (1/4)*floor(n/2)*floor((n-1)/2)*floor((n-2)/2)*floor((n-3)/2).at n=26A028723
- Even numbers in the (1,2)-Pascal triangle A029635.at n=59A029640
- Even numbers in the (1,2)-Pascal triangle A029635 that are different from 2.at n=45A029641
- Central elements of the (1,2)-Pascal triangle A029635.at n=7A029651
- Even numbers in the (2,1)-Pascal triangle A029653.at n=58A029658