4047
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 1713
- 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
- 2520
- Möbius Function
- -1
- Radical
- 4047
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 157
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=18A002412
- Expansion of 1/((1-x)^4*(1+x)).at n=34A002623
- Odd hexagonal pyramidal numbers.at n=9A015225
- Pseudoprimes to base 20.at n=21A020148
- Pseudoprimes to base 37.at n=49A020165
- Pseudoprimes to base 94.at n=36A020222
- Pisot sequence P(6,11), a(0)=6, a(1)=11, a(n+1) is the nearest integer to a(n)^2/a(n-1).at n=11A021011
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=34A023855
- n written in fractional base 8/4.at n=47A024646
- Concatenation of n and n+7.at n=39A032612
- Numbers having three 7's in base 8.at n=15A043451
- Numbers whose base-5 representation contains exactly three 1's and two 2's.at n=35A045231
- a(n) = floor(47*(n-3/2)^(3/2)).at n=19A050256
- a(n) is the smallest integer such that the sum of any three ordered terms a(k), k <= n, is unique.at n=15A051912
- Let Py(n)=A000330(n)=n-th square pyramidal number. Consider all integer triples (i,j,k), j >= k>0, with Py(i)=Py(j)+Py(k), ordered by increasing i; sequence gives j values.at n=30A053720
- Numbers n such that n^2 contains exactly 8 different digits.at n=9A054036
- a(n) = binomial(n,4) + binomial(n,2).at n=18A055795
- An approximation to sigma_{5/2}(n): floor( sum_{d|n} d^(5/2) ).at n=26A058272
- a(1) = 1; set of digits of a(n)^2 is a subset of the set of digits of a(n+1)^2.at n=18A066825
- Rounded total surface area of a regular dodecahedron with edge length n.at n=14A071397