2424
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6120
- Proper Divisor Sum (Aliquot Sum)
- 3696
- 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
- 800
- Möbius Function
- 0
- Radical
- 606
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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 dissections of an n-gon, rooted at an exterior edge, asymmetric with respect to that edge.at n=9A000150
- Squares written in base 7.at n=29A002440
- Coordination sequence T4 for Zeolite Code AET.at n=34A008010
- Coordination sequence T2 for Zeolite Code EPI.at n=31A008091
- Coordination sequence T2 for Zeolite Code MTT.at n=30A008190
- Powers of fourth root of 11 rounded to nearest integer.at n=13A018076
- Powers of fourth root of 11 rounded up.at n=13A018077
- Coordination sequence T5 for Zeolite Code CGF.at n=34A019455
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=23A020338
- a(n) = n*(19*n - 1)/2.at n=16A022276
- Fibonacci sequence beginning 2, 26.at n=11A022375
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=37A024927
- a(n) = greatest number in row n of A026098 that is not a positive power of 2.at n=46A026104
- Irreducible Euler sums of weight 8 and depth 10+2n.at n=9A031164
- Number of aperiodic necklaces of n beads of 2 colors, 10 of them black.at n=7A032168
- Numbers k such that 63*2^k+1 is prime.at n=33A032381
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 4).at n=35A035541
- Positive numbers having the same set of digits in base 4 and base 7.at n=35A037425
- Numbers n such that string 8,3 occurs in the base 9 representation of n but not of n-1.at n=32A044326
- Numbers n such that string 8,3 occurs in the base 9 representation of n but not of n+1.at n=32A044707