4874
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7314
- Proper Divisor Sum (Aliquot Sum)
- 2440
- 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
- 2436
- Möbius Function
- 1
- Radical
- 4874
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 134
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that k*3^k + 1 is prime.at n=9A006552
- Series(W(exp(1)*(1+x)), x) = sum( a[ n ]/(2^(2*n)*n!), n=0..infinity), where W is the Lambert W function.at n=5A013703
- Coordination sequence T2 for Zeolite Code OSI.at n=46A016431
- Numbers k such that the continued fraction for sqrt(k) has period 39.at n=4A020378
- Sum of distances between dual pairs of partitions of n for the canonical order.at n=12A036045
- Base-7 digits are, in order, the first n terms of the periodic sequence with initial period 2,0,1,3.at n=4A037719
- A001067 appears to count the periodic points for a certain map. If so, then this is the sequence of the numbers of orbits of length n.at n=8A060309
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 95 ).at n=15A063368
- Number of partitions of n into sums of products.at n=23A066815
- Interprimes (A024675) which are of the form s*prime, s=2.at n=35A075277
- Monotonically increasing sequence of least positive integers, a(1)=1, such that the self-convolution produces all squares.at n=17A087150
- a(n) = (n^3 + 24*n^2 + 65*n + 36)/6.at n=24A087863
- Triangular matrix, read by rows, where row k is formed from the first differences of row (k-1) of its matrix square, with an appended '1' for the main diagonal.at n=36A102225
- Column 0 of triangular matrix A102225, in which row k is formed from the first differences of row (k-1) of its matrix square (A102228).at n=8A102226
- Triangular matrix, read by rows, equal to the matrix square of A102225, such that the first differences of row k forms row (k+1) of A102225.at n=28A102228
- {Sum of all k-digit numbers > n }-{sum of all k-digit numbers < n}, n is a 'k'digit number.at n=10A109644
- Minimum number of moves to solve a variant of the first Panex puzzle of order n of transferring a side tower to the center column.at n=9A115185
- Number of permutations of length n which avoid the patterns 123, 3142, 4312; or avoid the patterns 123, 3421, 4231.at n=29A116721
- Numbers n such that n^3 is zeroless pandigital.at n=15A124628
- Number of base 18 n-digit numbers with adjacent digits differing by three or less.at n=4A126486