2752
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
- 2
Divisibility
- Divisor Count
- 14
- Divisor Sum
- 5588
- 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
- 1344
- Möbius Function
- 0
- Radical
- 86
- Omega Function (Ω)
- 7
- 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
- yes
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Schroeder's fourth problem; also series-reduced rooted trees with n labeled leaves; also number of total partitions of n.at n=6A000311
- Pentagonal numbers: a(n) = n*(3*n-1)/2.at n=43A000326
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=29A001239
- Number of self-complementary oriented graphs with n nodes.at n=8A002785
- a(n) = 2^(n-1)*(2^n - (-1)^n)/3.at n=7A003683
- Fourier coefficients of E_{infinity,4}.at n=14A007331
- Coordination sequence T1 for Zeolite Code AFS.at n=40A008023
- Coordination sequence T3 for Zeolite Code DOH.at n=32A008080
- Coordination sequence T4 for Zeolite Code RSN.at n=34A009888
- Smallest positive number that can be written as sum of distinct Fibonacci numbers in n ways.at n=46A013583
- Even pentagonal numbers.at n=21A014633
- Coordination sequence T3 for Zeolite Code TER.at n=35A016435
- Number of rational knots (or two-bridge knots) with n crossings (up to mirroring).at n=13A018240
- Coordination sequence T2 for Zeolite Code SAO.at n=41A019572
- Coordination sequence T3 for Zeolite Code SAO.at n=41A019573
- Coordination sequence T4 for Zeolite Code SAO.at n=41A019574
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=41A020371
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...), t = (F(2), F(3), ...).at n=12A024481
- a(n) = (prime(n)^2 - 1)/24.at n=52A024702
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=32A024809