5114
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7674
- Proper Divisor Sum (Aliquot Sum)
- 2560
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2556
- Möbius Function
- 1
- Radical
- 5114
- Omega Function (Ω)
- 2
- 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
- 134
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Largest convex area that can be tiled with n equilateral triangles whose sides s_k are relatively prime, i.e., gcd(s_1,...,s_n) = 1.at n=14A014529
- a(n) = (tau(n^n)+n-1)/n.at n=69A016012
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=18A020362
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 5.at n=28A031418
- Number of days in n years (n=2 is the first leap year).at n=13A033173
- Number of days in n years (n=1 is the first leap year).at n=13A033174
- Partial sums of primes congruent to 5 mod 6.at n=33A038361
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 23.at n=7A051988
- Number of rooted identity trees with n nodes and 3 leaves.at n=19A055328
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 69 ).at n=39A063342
- G.f.: (1+3*x+2*x^2)/((1-x)*(1-2*x^2)).at n=19A063757
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=13A084048
- Absolute value of difference between counts of uninterrupted runs of 2 nonprimes in A093185 and A093186.at n=10A093398
- Row sums of triangle A096744, which shifts one place diagonally left and upward under the matrix cube operation.at n=9A096746
- Numbers k such that 8*R_k - 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=17A099422
- Smaller of two consecutive semiprimes with the same digital root.at n=31A118699
- Digital sum of the 2^n-th partition number.at n=20A129491
- a(n) is the smallest natural number we cannot obtain from n, n+1, n+2, n+3, n+4, n+5, n+6 and the operators +, -, *, /, using each number only once.at n=24A143191
- 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, 1, 0), (0, 0, -1), (0, 0, 1), (1, 0, 1)}.at n=7A150336
- Any number of necklaces made from n distinct colored beads then linearly arranged in a display case.at n=6A159662