2947
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3376
- Proper Divisor Sum (Aliquot Sum)
- 429
- 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
- 2520
- Möbius Function
- 1
- Radical
- 2947
- Omega Function (Ω)
- 2
- 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
- 97
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of unsensed planar maps with n edges and without loops or parallel edges.at n=9A006395
- Coordination sequence T3 for Zeolite Code CAS.at n=33A008065
- Coordination sequence T1 for Zeolite Code RSN.at n=35A009885
- Powers of cube root of 20 rounded down.at n=8A018033
- Powers of cube root of 20 rounded to nearest integer.at n=8A018034
- Pseudoprimes to base 20.at n=18A020148
- a(n) = floor(n^3 / Pi).at n=21A032633
- Number of partitions of n into parts 5k+1 and 5k+3 with at least one part of each type.at n=56A035632
- Sums of 5 distinct powers of 3.at n=37A038467
- Indices of primes at which the prime race 4k-1 vs. 4k+1 is tied.at n=7A038691
- Numbers n such that string 4,7 occurs in the base 10 representation of n but not of n-1.at n=32A044379
- Numbers n such that string 4,7 occurs in the base 10 representation of n but not of n+1.at n=32A044760
- Numbers having, in base 14, (sum of even run lengths)=(sum of odd run lengths).at n=32A044885
- Square array a(n,k) read by antidiagonals: a(n,1)=n, a(1,k)=k, a(n,k) = a(n-1,k-1) + a(n-1,k) + a(n,k-1).at n=59A047666
- Row 5 of array in A047666.at n=6A047669
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 22.at n=32A051987
- Smallest number that can be written in n ways as an unordered sum of 3 nonzero triangular numbers.at n=41A064181
- Numbers k such that sopf(k) - pi(k) = tau(k).at n=6A064445
- E.g.f.: exp(2*x)/sqrt(1-2*x).at n=5A081367
- Integer coefficients of a power series A(x) such that A(x)^3 = A083349(x).at n=15A083350