2588
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4536
- Proper Divisor Sum (Aliquot Sum)
- 1948
- 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
- 1292
- Möbius Function
- 0
- Radical
- 1294
- 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
- 40
- 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 discordant permutations.at n=2A000564
- Conjecturally largest even integer which is an unordered sum of two primes in exactly n ways.at n=33A000954
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=13A004966
- Coordination sequence T6 for Zeolite Code BOG.at n=36A008054
- Coordination sequence T1 for Zeolite Code CHA.at n=39A008066
- Coordination sequence for MgZn2, Position Zn1.at n=13A009937
- Phi(n) + 5 | sigma(n + 5).at n=31A015784
- Terms of A001273 with trailing 9's stripped (at n=13 term becomes periodic with period 49).at n=35A018785
- Numbers k such that the continued fraction for sqrt(k) has period 36.at n=29A020375
- Numbers k such that Fibonacci(k) == -3 (mod k).at n=36A023164
- a(n) = (1/C(n,0) + 1/C(n,1) + ... + 1/C(n,k))*L, where k = [ n/2 ], L = LCM{C(n,0), C(n,1),..., C(n,n)}.at n=11A025534
- 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=41A031522
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 20 ones.at n=40A031788
- Coordination sequence T2 for Zeolite Code SBE.at n=41A033605
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^3)/(1-x^5)/(1-x^8).at n=28A034379
- Number of partitions of n with equal number of parts congruent to each of 0 and 3 (mod 5).at n=33A035554
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 5).at n=40A035562
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=38A036805
- Denominators of continued fraction convergents to sqrt(468).at n=10A041893
- Numbers k such that the string 8,5 occurs in the base 9 representation of k but not of k-1.at n=34A044328