13848
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 34680
- Proper Divisor Sum (Aliquot Sum)
- 20832
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4608
- Möbius Function
- 0
- Radical
- 3462
- 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
- 151
- 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
- a(n) = n OR n^3 (applied to binary expansions).at n=23A008468
- a(n) = n OR n^3 (applied to ternary expansions).at n=23A008469
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=38A029695
- a(n) = n^3 + n.at n=24A034262
- Number of primes less than 10000n.at n=14A038813
- Numbers m such that prime(m) + Fibonacci(m) is prime.at n=16A050180
- Numbers k such that the period of the continued fraction for sqrt(2)*k (A064848) is 2.at n=46A065029
- a(n) = n*(n^2 + 1) if n is even, otherwise (n - 1/2)*(n^2 + 1).at n=24A071289
- a(n) = 1728*n + 24.at n=7A157325
- Number of 2n-digit primes that are concatenation of n two-digit distinct primes p_1...p_n: 10<p_1<p_2<...<p_n>98.at n=7A168519
- (A178476(n)-3)/9.at n=10A178486
- a(n) = n + [n^2 if n is odd or n^3 if n is even].at n=23A181427
- Conjectured least number k such that prime(n) is the largest divisor of k^3 - 1, or 0 if there is no such k.at n=48A223706
- Smallest sets of 6 consecutive abundant numbers in arithmetic progression. The initial abundant number is listed.at n=31A228963
- Number of (n+1) X (1+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=2A235002
- Number of (n+1) X (3+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=0A235004
- T(n,k) the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=3A235007
- T(n,k) the number of (n+1) X (k+1) 0..7 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 2, with no adjacent elements equal (constant-stress tilted 1 X 1 tilings).at n=5A235007
- Number of ways to place 8 nonattacking queens on an n X n board.at n=8A252593
- Expansion of Product_{k>=0} 1/(1-x^(4*k+1))^2.at n=49A261629