2920
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6660
- Proper Divisor Sum (Aliquot Sum)
- 3740
- 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
- 1152
- Möbius Function
- 0
- Radical
- 730
- Omega Function (Ω)
- 5
- 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
- 97
- 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
- Heptagonal (or 7-gonal) pyramidal numbers: a(n) = n*(n+1)*(5*n-2)/6.at n=15A002413
- Number of n-level ladder expressions with A001622.at n=11A003006
- Numbers that are the sum of 8 positive 6th powers.at n=30A003364
- Number of n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads.at n=18A005513
- Number of partitions of n into Fibonacci parts (with 2 types of 1).at n=28A007000
- Coordination sequence T1 for Zeolite Code ATS.at n=39A008038
- Coordination sequence T3 for Zeolite Code STI.at n=37A008236
- Expansion of (1+x)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=55A008762
- a(n) = Sum_{k=0..n} ceiling(k^3/n).at n=21A014813
- Squares on infinite chessboard at n moves from center using a {2,3} fairy knight.at n=44A018839
- Numerator of n*(n-3)*(3*n^2-6*n+2)/(3*(n-1)*(n-2)).at n=5A023417
- s(n+3)/2, where s is A024735.at n=10A024736
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=2 and a(2)=a(3)=1.at n=12A024957
- a(n) = sum of the numbers between the two n's in A026370.at n=27A026373
- Theta series of 6-dimensional lattice of det 8.at n=27A029543
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 27.at n=12A031525
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 27.at n=1A031705
- Base-9 palindromes that start with 4.at n=11A043031
- Numbers having three 5's in base 8.at n=15A043443
- Numbers n such that string 0,4 occurs in the base 9 representation of n but not of n-1.at n=38A044255