2540
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5376
- Proper Divisor Sum (Aliquot Sum)
- 2836
- 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
- 1008
- Möbius Function
- 0
- Radical
- 1270
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 32
- 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
- Generalized class numbers c_(n,1).at n=29A000233
- Number of discordant permutations.at n=7A000561
- Expansion of critical exponent for walks on tetrahedral lattice.at n=9A007181
- Coordination sequence T2 for Zeolite Code LTN.at n=35A008141
- Coordination sequence T1 for Zeolite Code TON.at n=31A008241
- Coordination sequence T2 for Cordierite.at n=30A008252
- Expansion of 1/((1-11x)(1-12x)(1-13x)(1-14x)(1-15x)).at n=2A016111
- Base 6 expansion uses each positive digit just once.at n=23A023744
- Number of 2's in all partitions of n.at n=23A024786
- a(n) = greatest number in row n of A026098 that is not a positive power of 2.at n=47A026104
- a(n) = position of the n-th n in A026400.at n=46A026403
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 24.at n=38A031522
- Numbers with exactly five distinct base-7 digits.at n=8A031984
- Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), k >= 3.at n=11A033937
- Decimal part of n-th root of a(n) starts with digit 2.at n=41A034079
- Triangle of a(n,k) = number of k-member minimal covers of an n-set (n >= k >= 1).at n=18A035348
- Number of partitions of n into parts not of the form 19k, 19k+6 or 19k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=27A035975
- Numbers k such that the string 3,2 occurs in the base 9 representation of k but not of k-1.at n=35A044280
- Numbers n such that string 4,0 occurs in the base 10 representation of n but not of n-1.at n=28A044372
- Numbers n such that string 5,4 occurs in the base 10 representation of n but not of n-1.at n=27A044386