5428
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 4652
- 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
- 2552
- Möbius Function
- 0
- Radical
- 2714
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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) = Sum_{j=1..n} j*prime(j).at n=16A014285
- Numbers k such that sigma(k) = sigma(k+6).at n=20A015866
- Number of lines through exactly 4 points of an n X n grid of points.at n=28A018811
- Revert transform of (1 + x - x^3)/(1 + 2x + 2x^2).at n=10A049145
- Larger members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=21A054572
- Number of ordered pairs a,b of elements in the dihedral group D_2n such that the subgroup generated by the pair a,b is a proper subgroup of D_2n.at n=45A064485
- Fourth power of lower triangular matrix of A056857 (successive equalities in set partitions of n).at n=15A078939
- First column of A078939, the fourth power of lower triangular matrix A056857.at n=5A078944
- Number of partitions of n with at least one odd part.at n=30A086543
- Convoluted convolved Fibonacci numbers G_5^(r).at n=44A089109
- Sign twisted convoluted convolved Fibonacci numbers H_5^(r).at n=44A089110
- Area of annuli of consecutive integer thickness.at n=11A114378
- 3*Volume of the root-n Waterman polyhedron of void-center type as defined in A119870.at n=31A119878
- 3*Volume of the root-n Waterman polyhedron of void-center type as defined in A119870.at n=30A119878
- Ramanujan numbers (A000594) read mod 23^3.at n=42A126847
- Concatenation of first two digits and last two digits of n-th even perfect number.at n=14A138875
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0), ending on the vertical axis and consisting of n steps taken from {(-1, 0), (0, -1), (1, 0), (1, 1)}.at n=10A151407
- Sum of proper divisors minus the number of proper divisors of the number of partitions of n, A000041(n).at n=36A152987
- Number of distinct solutions of sum{i=1..3}(x(2i-1)*x(2i)) = 1 (mod n), with x() only in 2..n-2.at n=14A180826
- Number of partitions of 2n that contain odd parts.at n=15A182616