2431
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 3024
- Proper Divisor Sum (Aliquot Sum)
- 593
- 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
- 1920
- Möbius Function
- -1
- Radical
- 2431
- 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
- 164
- 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
- a(n) = 2*Catalan(n) - Catalan(n-1).at n=7A000782
- 4-dimensional pyramidal numbers: a(n) = (3*n+1)*binomial(n+2, 3)/4. Also Stirling2(n+2, n).at n=11A001296
- Bessel polynomial y_n(x) evaluated at x=1.at n=5A001515
- Numbers k such that 15*2^k - 1 is prime.at n=26A002237
- a(n) = n*(11*n^2 - 5)/6.at n=11A004467
- Numerator of n!!/(n+3)!!.at n=17A004732
- Number of nonequivalent dissections of a polygon into n quadrilaterals by nonintersecting diagonals up to rotation.at n=8A005034
- Number of totally symmetric plane partitions that fit in an n X n X n box.at n=6A005157
- Number of unrooted triangulations with reflection symmetry of a disk with one internal node and n+3 nodes on the boundary.at n=14A005508
- Number of paraffins.at n=20A005997
- Modified Engel expansion of 3/7.at n=11A006693
- Coordination sequence T4 for Zeolite Code -CLO.at n=43A009853
- Coordination sequence T2 for Zeolite Code RTH.at n=34A009894
- Stirling numbers of second kind S2(13,n).at n=10A011562
- a(n) = floor(binomial(n,7)/8).at n=17A011844
- a(n) = floor( binomial(n,9)/10 ).at n=17A011846
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 3.at n=27A013591
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=5A013592
- Number of triples of different integers from [ 2,n ] with no common factors between pairs.at n=37A015620
- Pseudoprimes to base 16.at n=27A020144