4024
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7560
- Proper Divisor Sum (Aliquot Sum)
- 3536
- 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
- 2008
- Möbius Function
- 0
- Radical
- 1006
- Omega Function (Ω)
- 4
- 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
- 69
- 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 45*2^k - 1 is prime.at n=45A002242
- Coordination sequence T1 for Zeolite Code WEI.at n=45A009917
- sec(arcsin(x)+sin(x))=1+4/2!*x^2+80/4!*x^4+4024/6!*x^6+380544/8!*x^8...at n=3A012922
- Numbers k such that sigma(k) = sigma(k+4).at n=7A015863
- Numbers k such that the continued fraction for sqrt(k) has period 40.at n=31A020379
- Pisot sequences E(5,7), P(5,7).at n=18A020711
- Pisot sequences E(7,10), P(7,10).at n=17A020721
- Numbers k such that Fib(k) == -21 (mod k).at n=34A023168
- a(n) = A027082(n, n+3).at n=9A027085
- a(n) = A027082(n, 2n-9).at n=7A027096
- Numbers k such that the string 2,4 occurs in the base 10 representation of k but not of k-1.at n=44A044356
- Positions in decimal expansion of Pi where next prime begins.at n=34A053013
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=14A056068
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=18A063350
- Interprimes which are of the form s*prime, s=8.at n=9A075283
- Even interprimes from A075688.at n=11A075689
- Expansion of (1-x)^(-1)/(1+x-2*x^2+x^3).at n=12A077899
- a(n) = A069540(n)/5.at n=38A088407
- Numbers k such that k^2+1 and (k+2)^2+1 are both prime; twin k^2+1 primes.at n=38A096012
- Numbers n such that 6*10^n + 5*R_n - 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=16A103038