5162
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8100
- Proper Divisor Sum (Aliquot Sum)
- 2938
- 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
- 2464
- Möbius Function
- -1
- Radical
- 5162
- Omega Function (Ω)
- 3
- 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
- 103
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Coefficients of the '2nd-order' mock theta function A(q).at n=31A006304
- Coordination sequence T1 for Zeolite Code MTW.at n=47A008196
- Numbers k such that the continued fraction for sqrt(k) has period 7.at n=35A010338
- Length of n-th term of A022470.at n=29A022471
- Expansion of 1 / ((1-4*x)*(1-5*x)*(1-7*x)*(1-9*x)).at n=3A028116
- Numbers k such that 205*2^k+1 is prime.at n=13A032479
- Trajectory of 1 under map n->13n+1 if n odd, n->n/2 if n even.at n=16A033964
- a(n)=(s(n)+5)/10, where s(n)=n-th base 10 palindrome that starts with 5.at n=38A043084
- Numbers k such that k^2 contains only digits {2,4,6}.at n=5A053922
- Sums of nonconsecutive factorial numbers.at n=31A060112
- Positions of the permutations which have the same rank in A055089 and A060118, i.e., the fixed points of permutations A060120 and A060127.at n=47A060133
- Numbers which have more different digits than their squares.at n=31A061277
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 77 ).at n=23A063350
- a(0)=1, a(n) = 2*Fibonacci(n+4) - 6.at n=14A063758
- Ulam numbers such that n/2 is also an Ulam number.at n=16A068799
- Number of n-digit terms of A070153.at n=39A071297
- Integers i such that 15*i = A048720bi(23,i).at n=45A115774
- a(n) = 2*a(n-1) - a(n-2) + 2*(prime(n+1)-prime(n)); a(1) = 2, a(2) = 3.at n=36A122263
- Maximum number of unit squares aligned with unit-spaced horizontal lines that can be enclosed by a circle of radius n.at n=41A124484
- Expansion of limit b(n)/x^n where b(n) = b(n-1)^2 + b(n-1)*x, b(1) = x^2.at n=18A124571