6414
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12840
- Proper Divisor Sum (Aliquot Sum)
- 6426
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2136
- Möbius Function
- -1
- Radical
- 6414
- 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
- 49
- 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
- Coordination sequence for quartz.at n=45A008261
- a(n) = Sum_{k=0..n} (k+1) * A026769(n, n-k).at n=9A027244
- Product of n with 666 is palindromic.at n=42A030094
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 52.at n=35A031550
- Number of partitions of n into parts 3k+1 and 3k+2 with at least one part of each type.at n=40A035620
- Number of partitions of n such that cn(1,5) < cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5).at n=73A036859
- Positive numbers having the same set of digits in base 8 and base 10.at n=28A037442
- Pure 3-multicomplexes on infinite set of nodes with n 3-simplexes.at n=5A052172
- Number of n-rowed binary matrices with all row sums 4, up to row and column permutation; bipartite graphs with all nodes of degree 4 in a distinguished bipartite n-block, up to isomorphism.at n=5A058783
- Where 3^n occurs in n-almost primes, starting at a(0)=1.at n=18A078843
- a(1)=1, then a(n)=2*a(n-1) if a(n-1) is prime, a(n)=a(n-1)+1 otherwise.at n=48A080735
- a(1)=1, a(n)=2a(n-1)+1 if a(n-1) is prime, a(n)=a(n-1)+1 otherwise.at n=37A083005
- Numbers k such that k and k^2 use only the digits 1, 3, 4, 6 and 9.at n=19A137027
- 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, 0, 1), (-1, 1, 0), (1, -1, -1), (1, 1, 0)}.at n=8A149109
- Numbers of distinct Knuth-Morris-Pratt arrays of length n.at n=11A179476
- Principal diagonal of the convolution array A213831.at n=11A213832
- Partial sums of 3-almost primes which are again 3-almost primes, i.e., have exactly 3 not necessarily distinct prime factors.at n=11A217018
- Number of (n+1) X (5+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically.at n=5A253228
- Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically.at n=4A253229
- a(n) = a(n-2) + a(n-3) + a(n-4) for n>3, a(0)=1, a(1)=a(2)=0, a(3)=2.at n=26A277253