6114
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12240
- Proper Divisor Sum (Aliquot Sum)
- 6126
- 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
- 2036
- Möbius Function
- -1
- Radical
- 6114
- 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
- 111
- 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
- Representation degeneracies for Ramond strings.at n=16A005304
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=19A025513
- 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 78.at n=3A031576
- Number of planar partitions of n, when partitions that are rotations of each other (when regarded as 3-D objects) are counted only once.at n=16A048139
- Duplicate of A048139.at n=16A048237
- Expansion of ( 1-x ) / ( 1-4*x-3*x^2+3*x^3 ).at n=6A052981
- Numbers which are the sum of their proper divisors containing the digit 0.at n=28A059461
- a(n) = prime(n) + prime(n^2).at n=27A092504
- Number of partitions of n such that the largest part is a multiple of the smallest part.at n=30A117086
- Expansion of q^(-1) * psi(-q) / psi(-q^3)^3 in powers of q where psi() is a Ramanujan theta function.at n=48A133637
- 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), (0, 0, -1), (1, 0, 1)}.at n=8A149240
- Recursive triangular symmetrical sequence: A(n,k) := (n - k + 1)A(n - 1, k - 1) + (k)* A(n - 1, k) - (n + 1)*A(n - 2, k - 1).at n=31A153479
- Recursive triangular symmetrical sequence: A(n,k) := (n - k + 1)A(n - 1, k - 1) + (k)* A(n - 1, k) - (n + 1)*A(n - 2, k - 1).at n=32A153479
- Partial sums of A006567.at n=23A172463
- Number of Hamiltonian cycles in C_8 X P_n.at n=3A180584
- Number of nondecreasing strings of numbers x(i=1..6) in -n..n with sum x(i)^3 equal to 0.at n=26A188280
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| > w+x+y.at n=18A213482
- Triprimes (numbers that are a product of exactly three primes: A014612) that become cubes when their central digit or central pair of digits is deleted.at n=34A217297
- Denominators of Bernoulli numbers which are congruent to 3 (mod 9).at n=33A219543
- Bernoulli denominators with 8 divisors in increasing order (without repetitions).at n=30A219742