13488
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
- 20
- Divisor Sum
- 34968
- Proper Divisor Sum (Aliquot Sum)
- 21480
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4480
- Möbius Function
- 0
- Radical
- 1686
- Omega Function (Ω)
- 6
- 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
- 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
- a(n) = round(n*phi^14), where phi is the golden ratio, A001622.at n=16A004949
- a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.at n=16A004969
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16).at n=48A017856
- CATS sequence: cube-add-then-sort variation of RATS (reverse, add then sort) sequence.at n=22A079320
- Coordination sequence for D_12 lattice.at n=2A107507
- Number of permutations of length n which avoid the patterns 312, 2341, 4321.at n=12A116715
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (0, -1, 1), (1, 1, 0), (1, 1, 1)}.at n=7A150926
- Number of zig-zag paths from top to bottom of a rectangle of width 11 with n rows.at n=11A153368
- Number of zig-zag paths from top to bottom of a rectangle of width 11 with n rows whose color is that of the top right corner.at n=12A153369
- Number of zig-zag paths from top to bottom of a rectangle of width 11 with 2n-1 rows whose color is that of the top right corner.at n=6A153372
- 3 times 11-gonal (or hendecagonal) numbers: a(n) = 3*n*(9*n-7)/2.at n=32A153783
- Expansion of 1/( (1+x)*(1-7*x+x^2) ).at n=5A157335
- Expansion of (78+1116*x+3492*x^2+3237*x^3+927*x^4+72*x^5+x^6)/(1-x)^7.at n=2A160839
- a(n,k) is the count of permutations with cycle length k in the products w*w over all permutations w of length n.at n=29A191718
- Number of 0..n arrays x(0..9) of 10 elements with zero 6th differences.at n=22A200333
- [s(k)-s(j)]/9, where the pairs (k,j) are given by A205872 and A205873, and s(k) denotes the (k+1)-st Fibonacci number.at n=27A205875
- Number of nondecreasing sequences of n 1..6 integers with every element dividing the sequence sum.at n=31A212534
- Number of lattice points in the closed region bounded by the graphs of y = (5/6)*x^2, x = n, and y = 0, excluding points on the x-axis.at n=35A227347
- Numbers k such that k^2 +/- (k-1) and (k-1)*k^2 +/- 1 are all primes.at n=22A239326
- Coefficients in expansion of graph zeta function for complete graph K_4.at n=15A240805