4724
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8274
- Proper Divisor Sum (Aliquot Sum)
- 3550
- 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
- 2360
- Möbius Function
- 0
- Radical
- 2362
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 59
- 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
- Representation degeneracies for Ramond strings.at n=14A005305
- Oscillates under partition transform.at n=43A007210
- Coordination sequence T1 for Zeolite Code BRE.at n=45A008058
- Coordination sequence T4 for Zeolite Code NES.at n=44A008208
- Coordination sequence for D_6 lattice.at n=3A008357
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=18A020393
- a(n) = sum of the numbers between the two n's in A026366.at n=35A026369
- 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 34.at n=41A031532
- Number of basis partitions of n+25 with Durfee square size 5.at n=25A053800
- McKay-Thompson series of class 32B for the Monster group.at n=31A058630
- a(n+1) = a(n)-th composite and a(1) = 13.at n=25A059408
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 99 ).at n=17A063372
- Let x = 1.757739951145463... be smallest real number that satisfies gcd(floor(x^m),m)=1 for all integers m>0; sequence gives floor(x^n).at n=14A069818
- Number of binary trees of path length n.at n=27A095830
- Square array T(n,k) read by antidiagonals: coordination sequence for lattice D_n.at n=18A103903
- Even elements of A085493.at n=6A106431
- Expansion of (1-4x)/(1-8x+11x^2).at n=5A108404
- Number of permutations of length n which avoid the patterns 213, 1234, 4312.at n=42A116720
- a(0) = 0, a(1) = 1; for n >= 2, a(n) = a(n-1) + a(n-2) - (n-1) if that number is positive and not already in the sequence, otherwise a(n) = a(n-1) + a(n-2) + (n-1).at n=20A117824
- Conjectured lower bound for the number of spheres of radius 1 that can be packed in a sphere of radius n.at n=17A121346