5002
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7812
- Proper Divisor Sum (Aliquot Sum)
- 2810
- 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
- 2400
- Möbius Function
- -1
- Radical
- 5002
- 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
- 28
- 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
- yes
- Odd
- no
Appears in sequences
- Bending a piece of wire of length n+1; walks of length n+1 on a tetrahedron; also non-branched catafusenes with n+2 condensed hexagons.at n=9A001998
- Numbers k such that k^4 can be written as a sum of four positive 4th powers.at n=31A003294
- Coordination sequence for body-centered tetragonal lattice.at n=25A008527
- n written in fractional base 10/5.at n=42A024660
- Take list of squares, move left digit of each term to end of previous term.at n=51A032760
- Numbers k such that sigma(phi(k)) = sigma(k) where sigma is the sum of divisors function A000203 and phi is the Euler totient function A000010.at n=5A033631
- Pentagonal numbers multiplied by 2: a(n) = n*(3*n-1).at n=41A049450
- Numbers n such that 185*2^n-1 is prime.at n=17A050844
- a(n) = (3^n+1)*(3^(n+1)+1)/4.at n=4A051405
- Number of cycle types of direct products of two degree-n permutations.at n=13A053391
- Vertically symmetric numbers.at n=29A053701
- Coordination sequence T5 for Zeolite Code MTF.at n=42A057308
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=21A063366
- Numbers k such that sigma(k) divides sigma(phi(k)).at n=27A066831
- Rounded total surface area of a regular octahedron with edge length n.at n=38A071396
- a(n) is the next available entirely straight or curved number, depending on whether n contains a straight digit or not.at n=33A079064
- Number of n-digit 7-smooth numbers (A002473).at n=13A085630
- Numbers k such that k*primorial(2473)-1 is prime.at n=35A087832
- Numbers n such that n concatenated with n+1 is triangular.at n=14A094609
- Numbers k such that k^4 can be written as a sum of four distinct positive 4th powers.at n=31A096739