4842
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
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10530
- Proper Divisor Sum (Aliquot Sum)
- 5688
- 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
- 1608
- Möbius Function
- 0
- Radical
- 1614
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 20
- 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
- Numbers k such that 9*2^k + 1 is prime.at n=31A002256
- Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=22A005901
- Coordination sequence for diamond.at n=44A008253
- Coordination sequence T1 for Milarite.at n=43A008256
- Coordination sequence for CaF2(2), Ca position.at n=44A009926
- a(0) = 1, a(n) = 40*n^2 + 2 for n>0.at n=11A010022
- Convolution of natural numbers >= 2 and natural numbers >= 3.at n=26A023545
- Coordination sequence T2 for Zeolite Code MWW.at n=46A024987
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 10 (most significant digit on right).at n=18A029503
- Numbers k such that 73*2^k+1 is prime.at n=16A032386
- Numbers whose base-5 representation contains exactly two 2's and three 3's.at n=13A045273
- Geometric mean of the digits = 4. In other words, the product of the digits is = 4^k where k is the number of digits.at n=31A061428
- Multiples of 9 having only even digits.at n=42A061831
- Number T(n,m) of n X m matrices over {0,1,2} with all row and column sums equal to 1 or 2, m=0,..,2*n.at n=20A062154
- Number of n X n matrices over {0,1,2} with all row and column sums equal to 1 or 2.at n=4A062156
- Numbers n such that n and n+1 both are members of A074997; i.e., on the one hand n-1 and n+1 have the same prime signature, on the other hand n and n+2 have the same prime signature.at n=29A086540
- Expansion of q / (chi(-q) * chi(-q^23)) in powers of q where chi() is a Ramanujan theta function.at n=52A092833
- Coefficients of the C-Dyson Mod 27 identity.at n=31A104503
- Numbers n such that the numerator of BernoulliB[n] is divisible by 691.at n=17A119864
- Arithmetic mean of two consecutive balanced primes (of order one).at n=38A126554