4313
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
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4560
- Proper Divisor Sum (Aliquot Sum)
- 247
- 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
- 4068
- Möbius Function
- 1
- Radical
- 4313
- 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
- 51
- 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 T1 for Zeolite Code PAU.at n=48A008219
- Coordination sequence T4 for Zeolite Code PAU.at n=48A008222
- If a, b in sequence, so is ab+7.at n=36A009312
- n is equal to the number of 1's in all numbers <= n written in base 6.at n=16A014890
- Number of partitions of n into distinct parts, none being 4.at n=56A015746
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=31A020383
- Number of Dyck n-paths with ascents and descents of length equal to 1 (mod 3).at n=16A023432
- Coordination sequence T4 for Zeolite Code ITE.at n=45A027372
- Number of partitions of n into parts 4k+1 and 4k+3 with at least one part of each type.at n=51A035625
- Mono-3-catahelicenes.at n=5A039630
- Numerators of continued fraction convergents to sqrt(667).at n=5A042282
- Triangle T(n,k) giving number of 3 X k polyominoes with n cells (n >= 3, 1<=k<=n-2).at n=63A059683
- Numbers k such that k divides the (right) concatenation of all numbers <= k written in base 16 (most significant digit on right, least significant zeros not written).at n=20A061945
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an integer triangle with integer area, having relatively prime side lengths.at n=33A070143
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is a scalene integer triangle with integer area.at n=36A070144
- Numbers k such that [A070080(k), A070081(k), A070082(k)] is an obtuse integer triangle with integer area.at n=25A070147
- Numbers n such that [A070080(n), A070081(n), A070082(n)] is an integer triangle with integer inradius.at n=31A070209
- Maximum value taken on by f(P) = Sum_{i=1..n} p(i)*p(n+1-i) as {p(1),p(2),...,p(n)} ranges over all permutations P of {1,2,3,...,n}.at n=23A087035
- a(n) = A088314(n) - A000009(n).at n=38A088571
- Numbers n such that n, n+2, n+4, n+6 are semiprimes.at n=38A092126