13448
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 25845
- Proper Divisor Sum (Aliquot Sum)
- 12397
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6560
- Möbius Function
- 0
- Radical
- 82
- Omega Function (Ω)
- 5
- 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
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for lattice D*_82 (with edges defined by l_1 norm = 1).at n=2A035826
- Coordination sequence for diamond structure D^+_82. (Edges defined by l_1 norm = 1.)at n=2A035917
- Base-9 palindromes that start with 2.at n=24A043029
- Series for first perpendicular moment of square lattice bond percolation near a wall (eventually goes negative).at n=15A056599
- Sum of n-th row of triangle of 4th powers: 1; 1 16 1; 1 16 81 16 1; 1 16 81 256 81 16 1; ... (cf. A133824).at n=7A061803
- A089450 indexed by A000040.at n=8A089525
- Numbers with at least two odd prime factors (not necessarily distinct) such that in binary representation all divisors of n are contained in n.at n=9A105442
- Powerful(1) numbers (A001694) whose digit reversal is a prime number.at n=32A115686
- Moment sequence of t^2 coefficient in det(tI-A) for random matrix A in USp(4).at n=10A138356
- a(n) = 8*n^2.at n=41A139098
- Numbers of the form p^2 * q^3, where p,q are distinct primes.at n=27A143610
- a(n) = 841*n^2 - 2*n.at n=3A158401
- Members of A143610 for which both neighbors are squarefree.at n=11A166987
- Number of (n+1) X 2 0..7 arrays with every 2 X 2 subblock summing to 14.at n=2A183674
- Number of (n+1) X 4 0..7 arrays with every 2 X 2 subblock summing to 14.at n=0A183676
- T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock summing to 14.at n=3A183680
- T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock summing to 14.at n=5A183680
- Number of (n+2) X 3 0..1 arrays with no 3 X 3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=3A204391
- Number of (n+2)X6 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=0A204394
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3X3 subblock having three equal diagonal elements or three equal antidiagonal elements, and new values 0..1 introduced in row major order.at n=6A204398