2590
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 5472
- Proper Divisor Sum (Aliquot Sum)
- 2882
- 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
- 864
- Möbius Function
- 1
- Radical
- 2590
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 40
- 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
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=47A000009
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^6)/(1-x^12)/(1-x^24)/(1-x^48)/(1-x^60).at n=43A001365
- Numbers k such that phi(k) = phi(k+2).at n=41A001494
- Primitive pseudoperfect numbers.at n=41A006036
- Number of unlabeled graphs with n nodes and degree >= 3.at n=8A007111
- Number of 3rd-order maximal independent sets in cycle graph.at n=36A007387
- Coordination sequence T1 for Zeolite Code BIK.at n=31A008047
- Coordination sequence T1 for Zeolite Code EAB.at n=37A008082
- Coordination sequence T2 for Zeolite Code EDI.at n=36A008085
- Coordination sequence T3 for Zeolite Code THO.at n=36A008240
- Coordination sequence T2 for Zeolite Code -CLO.at n=45A009851
- a(n) = floor(binomial(n,3)/3).at n=37A011849
- a(n) = n*(13*n - 1)/2.at n=20A022270
- Number of labeled servers of dimension 10.at n=3A027397
- Numbers that, when expressed in base 7 and then interpreted in base 10, yield a multiple of the original number.at n=18A032549
- Period of n-countdown club-passing juggling pattern.at n=34A039720
- Triangle read by rows: matrix 4th power of the Stirling-1 triangle A008275.at n=25A039816
- Numbers n such that string 8,7 occurs in the base 9 representation of n but not of n-1.at n=34A044330
- Numbers n such that string 5,9 occurs in the base 10 representation of n but not of n-1.at n=28A044391
- Numbers n such that string 9,0 occurs in the base 10 representation of n but not of n-1.at n=27A044422