3654
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 5706
- 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
- 1008
- Möbius Function
- 0
- Radical
- 1218
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 131
- 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
- Nearest integer to modified Bessel function K_n(1).at n=6A000155
- Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.at n=27A000292
- a(n) = 1^2 + 3^2 + 5^2 + 7^2 + ... + (2*n-1)^2 = n*(4*n^2 - 1)/3.at n=14A000447
- Degrees of irreducible representations of Rudvalis group Ru.at n=6A003918
- Coordination sequence T1 for Zeolite Code LAU.at n=43A008124
- Number of n-dimensional partitions of 5.at n=13A008779
- Binomial coefficient C(29,n).at n=3A010945
- Binomial coefficient C(29,n).at n=26A010945
- Binomial coefficient C(n,26).at n=3A010979
- a(n) = n*(2*n + 3).at n=42A014106
- Even tetrahedral numbers.at n=20A015220
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=28A020333
- Binomial coefficients: C(n,k), 3 <= k <= n-3, sorted, duplicates removed.at n=43A024755
- 9 times the triangular numbers A000217.at n=28A027468
- a(n) = (prime(n)-3)*(prime(n)-5)*(prime(n)-7)/48.at n=16A030003
- a(n) = (prime(n) - 1)*(prime(n) - 3)*(prime(n) - 5)/48.at n=15A030004
- A convolution triangle of numbers obtained from A036068.at n=16A030524
- a(n) = 2*n*(4*n + 3).at n=21A033587
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(0,5) + cn(1,5) and cn(2,5) + cn(3,5) <= cn(0,5) + cn(4,5).at n=33A039865
- Number of degree-n irreducible polynomials over GF(2) with trace = 1 and subtrace = 1.at n=17A042982