2032
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 3968
- Proper Divisor Sum (Aliquot Sum)
- 1936
- 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
- 1008
- Möbius Function
- 0
- Radical
- 254
- Omega Function (Ω)
- 5
- 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
- 50
- 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
- 'Eban' numbers (the letter 'e' is banned!).at n=24A006933
- Expansion of susceptibility series related to Potts model.at n=3A007278
- Coordination sequence T1 for Zeolite Code AFT.at n=34A008026
- Coordination sequence T2 for Zeolite Code AFT.at n=34A008027
- Coordination sequence T3 for Zeolite Code BOG.at n=32A008051
- Coordination sequence T1 for Zeolite Code PAU.at n=33A008219
- Coordination sequence T2 for Zeolite Code AFX.at n=34A009865
- G.f.: (1+x)*(1+x^3)*(1+x^5)*(1+x^7)*(1+x^9)/((1-x^2)*(1-x^4)*(1-x^6)*(1-x^8)*(1-x^10)).at n=46A014670
- Irreducible quadruple Euler sums of weight 2n+10 (verified for n <= 14).at n=46A019449
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=36A020367
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence), t = A001950 (upper Wythoff sequence).at n=16A024686
- First differences of the central trinomial coefficients A002426.at n=8A025178
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026386.at n=5A026952
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=26A028604
- 1 together with numbers of the form p*q^4 and p^9, where p and q are distinct primes.at n=41A030628
- Numbers k such that 93*2^k+1 is prime.at n=23A032396
- Configurations of linear chains for a square lattice.at n=7A033155
- Coordination sequence T3 for Zeolite Code SBT.at n=36A033614
- All slopes (a(n)-a(m))/(n-m) are distinct; generated from 0 by greedy algorithm.at n=40A033808
- Number of partitions of n into parts not of form 4k+2, 20k, 20k+1 or 20k-1. Also number of partitions in which no odd part is repeated, with no part of size less than or equal to 2 and where differences between parts at distance 4 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=48A036024