1947
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2880
- Proper Divisor Sum (Aliquot Sum)
- 933
- 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
- 1160
- Möbius Function
- -1
- Radical
- 1947
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 81
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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 inequivalent planar partitions of n, when considering them as 3D objects.at n=16A000786
- A Fielder sequence.at n=13A001640
- Numbers k such that 5*2^k + 1 is prime.at n=11A002254
- Coordination sequence T2 for Zeolite Code MFI.at n=28A008165
- Coordination sequence T1 for Zeolite Code STI.at n=30A008234
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=34A008610
- Coordination sequence T1 for Zeolite Code VNI.at n=27A009907
- a(n) = floor( n*(n-1)*(n-2)/22 ).at n=36A011904
- Numbers k such that phi(k) | sigma_14(k).at n=15A015773
- Place where n-th 1 occurs in A023117.at n=41A022779
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=24A023108
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (odd natural numbers).at n=17A024598
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=16A025112
- a(n) = sum of the numbers between the two n's in A026358.at n=22A026361
- Odd elements in 4-Pascal triangle A028275 (by row).at n=53A028277
- Odd elements in 4-Pascal triangle A028275 (by row).at n=52A028277
- Odd elements in 4-Pascal triangle A028275 (by row) that are not 1.at n=26A028278
- Odd elements in 4-Pascal triangle A028275 (by row) that are not 1.at n=27A028278
- Distinct elements in 4-Pascal triangle A028275 (by row).at n=39A028280
- Distinct odd elements in 4-Pascal triangle A028275 (by row).at n=15A028281