2535
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 4392
- Proper Divisor Sum (Aliquot Sum)
- 1857
- 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
- 1248
- Möbius Function
- 0
- Radical
- 195
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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
- no
- Odd
- yes
Appears in sequences
- E.g.f. satisfies A'(x) = 1 + A(A(x)), A(0)=0.at n=6A001028
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^9 in powers of x.at n=12A001487
- Numbers that are the sum of 5 positive 5th powers.at n=43A003350
- Number of partitions of n into parts of 12 kinds.at n=4A005758
- Number of inequivalent ways to color vertices of a regular tetrahedron using <= n colors.at n=13A006008
- Coefficient of x^4 in (1-x-x^2)^(-n).at n=11A006504
- Logarithm of e.g.f. for primes.at n=6A007447
- Coordination sequence T1 for Zeolite Code EPI.at n=32A008090
- Coordination sequence T7 for Zeolite Code EUO.at n=31A008102
- a(n) = (2*n - 11)*n^2.at n=13A015245
- Numbers whose base-2 representation is the juxtaposition of two identical strings.at n=38A020330
- Numbers whose base-4 representation is the juxtaposition of two identical strings.at n=38A020332
- Numbers whose base-8 representation is the juxtaposition of two identical strings.at n=38A020336
- Base 6 expansion uses each positive digit just once.at n=22A023744
- a(n) = A024733(n+3)/7.at n=10A024734
- Every suffix prime and no 0 digits in base 8 (written in base 8).at n=53A024783
- a(n) = A024955(n+3)/7.at n=9A024956
- a(n) = T(2n,n-4), T given by A026725.at n=4A026841
- a(n) = T(2n,n-4), T given by A026736.at n=4A026848
- Sorted k-factorial numbers (numbers of form k-1 excluded).at n=16A028687