6395
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 1285
- 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
- 5112
- Möbius Function
- 1
- Radical
- 6395
- 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
- 124
- 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
- a(n) = C(n+2,3) + C(n,3) + C(n-1,3).at n=23A006004
- a(n) = (d(n)-r(n))/5, where d = A026049 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=41A026051
- a(n) = A027082(n, 2n-6).at n=8A027093
- Number of binary [ n,4 ] codes without 0 columns.at n=14A034345
- a(n) = prime(n)*prime(n+1) - prime(n) - prime(n+1).at n=21A037165
- Number of connected functions on n points with a single labeled point.at n=9A038002
- Fourth spoke of a hexagonal spiral.at n=46A056108
- Number of primes below n^3 does not exceed n times the number of primes below n^2.at n=48A060304
- Largest number k such that the interval [k^2,(k+1)^2] contains not more than n pairs of twin primes.at n=37A099154
- Semiprimes in A056108.at n=14A113527
- Take an n X n square grid of points in the plane; a(n) = number of ways to divide the points into two sets using a straight line.at n=11A114043
- Least k such that the Collatz (3x+1) iteration starting with k has "dropping time" A122437(n).at n=33A122442
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 110-111-001 pattern in any orientation.at n=9A146233
- a(n) = 256*n^2 - n.at n=4A158010
- a(n) = 25*n^2 - 5.at n=15A158446
- Number of binary strings of length n with no substrings equal to 0000 0110 or 1011.at n=12A164440
- Parameters k for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3+k has order 16.at n=5A179130
- Number of nondecreasing arrangements of n+3 numbers in 0..3 with each number being the sum mod 4 of three others.at n=28A183898
- a(n) = 12*n^2 + 2*n + 1.at n=23A194454
- (A209988)/4.at n=38A209989