4900
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 27
- Divisor Sum
- 12369
- Proper Divisor Sum (Aliquot Sum)
- 7469
- 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
- 1680
- Möbius Function
- 0
- Radical
- 70
- 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
- yes
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 134
- 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
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = (n+1)*(n+3)*(n+8)/6.at n=28A000297
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=24A000330
- Expansion of 1/((1+x)*(1-x)^7).at n=10A001769
- The coding-theoretic function A(n,4,4).at n=46A001843
- a(n) = binomial(2n, n)^2.at n=4A002894
- Number of 4-line partitions of n decreasing across rows.at n=20A003292
- a(n) = (prime(n) - 1)^2.at n=19A005722
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=47A006918
- Coordination sequence T5 for Zeolite Code HEU.at n=46A008120
- Coordination sequence T2 for feldspar.at n=47A008255
- Square the entries of Pascal's triangle.at n=40A008459
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=47A008610
- Coordination sequence T2 for Zeolite Code VNI.at n=43A009908
- a(n) = floor(n*(n-1)*(n-2)/24).at n=50A011842
- Squares of elements in Pascal triangle (by row) that are not 1.at n=24A014719
- Squares of even elements in Pascal's triangle A007318.at n=12A014727
- Squares of distinct elements in Pascal triangle.at n=15A014764
- Squares of even pentagonal numbers.at n=3A014770
- Even square pyramidal numbers.at n=11A015222
- a(n) = (2*n - 3)n^2.at n=14A015238