13452
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33600
- Proper Divisor Sum (Aliquot Sum)
- 20148
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4176
- Möbius Function
- 0
- Radical
- 6726
- 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
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of triangles a queen can make (starting anywhere) on an n X n board.at n=19A030117
- Configurations of linear chains in a 6-dimensional hypercubic lattice.at n=3A038729
- Second convolution of A001405 (central binomial numbers).at n=11A054442
- Global ranks of terms of A057122: tells which terms of A014486 form rooted plane binary trees also when interpreted as codes for ordinary rooted planar trees.at n=37A057123
- Numbers k such that the period of the continued fraction for sqrt(2)*k (A064848) is 2.at n=44A065029
- a(n) = (4*7^n+2^n)/5.at n=5A083426
- Numbers with 5 distinct digits {1,2,3,4,5} such that all adjacent digits (as well as first and last digits) are coprime.at n=5A104972
- Define E(n) = Sum_{k >= 0} (-1)^floor(k/3)*k^n/k! for n = 0,1,2,... . Then E(n) is an integral linear combination of E(0), E(1) and E(2). This sequence lists the coefficients of E(0).at n=10A143628
- Triangle, read by rows, T(n,k) = (7*n-7*k+1)*T(n-1, k-2) + (7*k-6)*T(n-1, k) + 7*T(n-2, k-1) with T(n, 1) = T(n, n) = 1.at n=16A144445
- Triangle, read by rows, T(n,k) = (7*n-7*k+1)*T(n-1, k-2) + (7*k-6)*T(n-1, k) + 7*T(n-2, k-1) with T(n, 1) = T(n, n) = 1.at n=19A144445
- a(n) = C(2,n) DELTA C(0,n).at n=39A147721
- a(n) = 16*n^2 - 4.at n=28A158443
- Number of binary strings of length n with equal numbers of 001 and 101 substrings.at n=16A164144
- Permutations of 12345: Numbers having each of the decimal digits 1,...,5 exactly once, and no other digit.at n=9A178475
- Number of n X n binary arrays without the pattern 0 1 0 antidiagonally or horizontally.at n=3A189058
- Number of n X 4 binary arrays without the pattern 0 1 0 antidiagonally or horizontally.at n=3A189059
- T(n,k)=Number of nXk binary arrays without the pattern 0 1 0 antidiagonally or horizontally.at n=24A189064
- Number of 4Xn binary arrays without the pattern 0 1 0 antidiagonally or horizontally.at n=3A189066
- Antidiagonal sums of the convolution array A213765.at n=11A213767
- Number of length n+2 0..3 arrays with no pair in any consecutive three terms totalling exactly 3.at n=7A245990