5195
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6240
- Proper Divisor Sum (Aliquot Sum)
- 1045
- 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
- 4152
- Möbius Function
- 1
- Radical
- 5195
- 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
- 103
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T3 for Zeolite Code MTW.at n=47A008198
- "Pascal sweep" for k=10: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=39A009550
- Coordination sequence T2 for Zeolite Code VNI.at n=44A009908
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=30A043078
- a(n) = a(n-1) + a(n-1 minus the number of terms of the same parity as n so far).at n=48A060714
- Row sums of triangle A067979; also of triangle A067990.at n=8A067989
- Number of distinct cuboids with integer sides <= n and cubefree volume.at n=41A070073
- a(n)=60*sum(1<=i<=j<=k<=n,i*j^2/k).at n=4A088943
- a(n) = ceiling((3-sqrt(3))*4^(n-3)) + 1 for n>=2, a(1)=1.at n=8A094062
- a(n) = ceiling((3-sqrt(3))*4^(n-3)) + 1.at n=9A101360
- Positive integers i for which A112049(i) == 8.at n=4A112068
- a(n) = 5 + floor((1 + Sum_{j=1..n-1} a(j)) / 2).at n=17A120135
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + ... + k^61 + k^63 is prime.at n=33A124209
- Number of base 15 circular n-digit numbers with adjacent digits differing by 1 or less.at n=7A124708
- an=n-th smallest integer of the form m=p1*p2 where pi are odd primes such that d+2m/d are all primes for d dividing 2m.at n=35A128279
- Number of binary strings of length n with no substrings equal to 0001, 0110, or 0111.at n=23A164476
- Run length of the n-th run of Fibonacci composites.at n=25A182600
- Number of partitions of n containing a clique of size 7.at n=36A183564
- Number of strict partitions of n that include a pair of consecutive integers.at n=56A238708
- Number of n X 2 0..2 arrays with no element equal to exactly one horizontal or vertical neighbor, with new values 0..2 introduced in row major order.at n=7A241073