13516
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 24640
- Proper Divisor Sum (Aliquot Sum)
- 11124
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6480
- Möbius Function
- 0
- Radical
- 6758
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 37
- 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
- Denominators of continued fraction convergents to sqrt(374).at n=7A041709
- Rotating digits of a(n)^2 right once still yields a square.at n=14A045877
- The n-th n-gonal number: a(n) = n*(n^2 - 3*n + 4)/2.at n=31A060354
- Numbers n such that sum of squares of even digits of n equals sum of squares of odd digits of n.at n=13A076164
- Fundamental discriminants of real quadratic number fields with class number 10.at n=31A218160
- Number of tilings of a 10 X n rectangle using 2n pentominoes of shape Y.at n=19A247118
- Egyptian fraction representation of sqrt(27) (A010482) using a greedy function.at n=3A248254
- Number of partitions of n with product of multiplicities of parts equal to 8.at n=52A266691
- Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4 or 6 king-move adjacent elements, with upper left element zero.at n=11A298290
- Numbers k such that sopfr(k) = tau(k)^2.at n=10A305026
- Binary encoding of balanced ordered rooted trees (counted by A007059).at n=38A358524
- Numbers k that are a substring of xPy where k=concatenation(x,y) and xPy is the number of permutations A008279(x,y).at n=38A359012
- 31-gonal numbers: a(n) = n*(29*n-27)/2.at n=31A360488
- Numerator of h(n) which is the minimum among the maxima of period n cycles of T(x) = 1 - 2 * |x-1/2|.at n=13A385706
- Expansion of e.g.f. (1 + x)*(1 + x^2/2)*cosh(x).at n=31A388428