2636
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4620
- Proper Divisor Sum (Aliquot Sum)
- 1984
- 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
- 1316
- Möbius Function
- 0
- Radical
- 1318
- Omega Function (Ω)
- 3
- 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
- 53
- 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
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=31A001935
- Numbers whose square is a palindrome.at n=19A002778
- a(n) = C(n+2,3) + C(n,3) + C(n-1,3).at n=17A006004
- Number of inverse pairs of elements in symmetric group S_n, or pairs of total orders on n nodes (average of A000085 and A000142).at n=7A007868
- If a, b in sequence, so is ab+4.at n=40A009303
- Coordination sequence T1 for Zeolite Code -WEN.at n=37A009862
- Coordination sequence T2 for Zeolite Code ZON.at n=36A009920
- Coordination sequence T4 for Zeolite Code ZON.at n=36A009922
- Nonpalindromic and "non-core" numbers that when squared give palindrome with odd number of digits.at n=4A016106
- Fibonacci sequence beginning 1, 29.at n=11A022399
- a(n) = floor(2nd elementary symmetric function of Sum_{j=1..k} 1/j, k = 1,2,...,n).at n=23A025212
- [ Sum (s(j) - s(i))^3 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=43A025217
- a(n) = Sum_{k=n+1..2*n} T(n, k), T given by A027023.at n=7A027045
- Numbers k such that k^2 is a palindrome with an odd number of digits.at n=18A028816
- Number of partitions of n into parts not of the form 25k, 25k+10 or 25k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=26A036009
- Numbers n such that string 4,8 occurs in the base 9 representation of n but not of n-1.at n=36A044295
- Numbers n such that string 3,6 occurs in the base 10 representation of n but not of n-1.at n=29A044368
- Numbers n such that string 4,8 occurs in the base 9 representation of n but not of n+1.at n=36A044676
- Numbers n such that string 5,4 occurs in the base 9 representation of n but not of n+1.at n=35A044681
- Numbers n such that string 3,6 occurs in the base 10 representation of n but not of n+1.at n=29A044749