2528
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5040
- Proper Divisor Sum (Aliquot Sum)
- 2512
- 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
- 158
- Omega Function (Ω)
- 6
- 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
- yes
- 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
- a(n) = floor(n*phi^14), where phi is the golden ratio, A001622.at n=3A004929
- Number of loopless rooted planar maps with 3 faces and n vertices and no isthmuses. Also a(n)=T(4,n-3), array T as in A049600.at n=21A006416
- Coordination sequence T2 for Zeolite Code AEI.at n=38A008002
- Coordination sequence T3 for Zeolite Code AEI.at n=38A008003
- Coordination sequence T5 for Zeolite Code MTW.at n=33A008200
- Expansion of e.g.f.: exp(tan(sinh(x))).at n=7A009239
- Rectilinear crossing number of complete graph on n nodes.at n=21A014540
- Numbers k such that phi(k + 12) | sigma(k) for k not congruent to 0 (mod 3).at n=19A015850
- Convolution of (F(2), F(3), F(4), ...) and odd numbers.at n=11A023652
- a(n) = 2nd elementary symmetric function of {1, prime(1), prime(2), ..., prime(n-1)}, where prime(0) = 1.at n=7A024522
- Numbers that are the sum of 4 nonzero squares in exactly 4 ways.at n=48A025360
- a(n) = (d(n)-r(n))/2, where d = A026043 and r is the periodic sequence with fundamental period (1,1,0,0).at n=21A026044
- Expansion of (theta_3(z)*theta_3(13z)+theta_2(z)*theta_2(13z))^4.at n=29A028620
- Expansion of (theta_3(z)*theta_3(5z)*theta_3(25z)+theta_2(z)*theta_2(5z)*theta_2(25z))^4.at n=60A028713
- Concatenation of n and n + 3.at n=24A032608
- AND-convolution of squares A000290 with themselves.at n=39A033458
- Multiples of 4 that are the difference of two positive cubes.at n=31A038849
- Multiples of 8 that are the difference of two positive cubes.at n=24A038850
- Numbers ending with '8' that are the difference of two positive cubes.at n=12A038863
- Numbers n such that string 7,4 occurs in the base 8 representation of n but not of n-1.at n=43A044247