4008
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 6072
- 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
- 1328
- Möbius Function
- 0
- Radical
- 1002
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 113
- 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_{k=1..n-1} lcm(k,n-k).at n=36A006580
- Coordination sequence T3 for Zeolite Code AFR.at n=48A008021
- Coordination sequence T3 for Zeolite Code VSV.at n=41A009916
- cos(tan(x)+arcsin(x))=1-4/2!*x^2-8/4!*x^4+26/6!*x^6+4008/8!*x^8...at n=4A012952
- exp(tanh(x)+arcsinh(x)) = 1+2*x+4/2!*x^2+5/3!*x^3-8/4!*x^4-63/5!*x^5...at n=8A013154
- a(n) = ((n+3)!/2)*Sum_{k=1..n} (-1)^(k+1)/(k+3).at n=4A024189
- Coordination sequence T14 for Zeolite Code STT.at n=42A038430
- Denominator of B(4n+2)/(8n+4) where B(m) are the Bernoulli numbers.at n=40A043304
- Coordination sequence T2 for Zeolite Code ISV.at n=44A047959
- Numbers k such that k^2 + prime(k) and k^2 - prime(k) are both primes.at n=26A064483
- Smallest even number divisible by 2n which is nontotient, i.e., in A005277.at n=11A071616
- Smallest multiple of the n-th prime such that the n-th partial sum is divisible by n.at n=38A074105
- Differences between two successive prime powers of prime numbers (A076707) in more than one way.at n=14A077257
- Differences between two successive powers of a prime but not a prime (A025475) in more than one way.at n=14A077274
- Least nontrivial multiple of the n-th prime beginning with 4.at n=38A078288
- Integers that occur more than once as the difference of the squares of two consecutive primes.at n=18A078667
- Local minima of A053707 (first differences of A025475, powers of a prime but not prime).at n=37A088363
- Local minima of A053707 (first differences of A025475, powers of a prime but not prime).at n=49A088363
- Numbers that can be expressed as the difference of the squares of consecutive primes in just two distinct ways.at n=17A090784
- Numbers that can be expressed as the difference of the squares of primes in just two distinct ways.at n=34A090788