2472
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6240
- Proper Divisor Sum (Aliquot Sum)
- 3768
- 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
- 816
- Möbius Function
- 0
- Radical
- 618
- 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
- 27
- 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
- Number of n-node triangulations of sphere in which every node has degree >= 4.at n=10A000103
- Number of bipartite partitions of n white objects and 5 black ones.at n=9A000491
- a(1) = 1; thereafter a(n+1) = floor(sqrt(2*a(n)*(a(n)+1))).at n=21A001521
- Eighth column of quadrinomial coefficients.at n=5A001919
- Absolute value of Glaisher's alpha(n).at n=31A002290
- Number of bipartite partitions of n white objects and 9 black ones.at n=5A002758
- Number of n-node trees with a forbidden limb of length 4.at n=14A002990
- Quadrinomial coefficients.at n=7A005726
- Number of minimal 3-polyhedra with n edges.at n=15A006868
- Coordination sequence T3 for Zeolite Code EMT.at n=41A008088
- Coordination sequence T1 for Zeolite Code SGT.at n=31A008229
- Expansion of exp(sinh(tan(x))).at n=7A009221
- a(n) is the concatenation of n and 3n.at n=23A019551
- a(n) = sum of squares of first n positive integers congruent to 1 mod 4.at n=7A024381
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=30A024929
- a(1) = 2; a(n+1) = a(n)-th nonprime, where nonprimes begin at 1.at n=24A025003
- Coordination sequence T1 for Zeolite Code SBE.at n=40A033604
- Expansion of Product_{d | 48} theta_3(q^d).at n=41A033760
- Coordination sequence T4 for Zeolite Code ESV.at n=33A038411
- Numbers whose base-7 representation contains exactly three 1's.at n=33A043399