7346
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11022
- Proper Divisor Sum (Aliquot Sum)
- 3676
- 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
- 3672
- Möbius Function
- 1
- Radical
- 7346
- 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
- 163
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{t=0..n} g(t)*g(n-t) where g(t) = A002121(t).at n=45A002122
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = (primes).at n=22A024603
- 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 84.at n=24A031582
- Partial sums of primes congruent to 1 mod 6.at n=37A038349
- Partial sums of primes congruent to 5 mod 6.at n=39A038361
- Stable Poincaré series [or Poincare series] for Lie algebra of type A (i.e., the variety of complex k X k matrices with distinct eigenvalues).at n=20A098787
- Number of 1's in n-th "Kolakoski" string defined in A054349.at n=22A111124
- Number of lattice paths from (0,0) to (n,n) using steps S={(k,0),(0,k)|0<k<=3} which never go above the line y=x.at n=6A175883
- The number of pairs of permutations in the product group S_n X S_n with k common descents, n >= 1 and 0 <= k <= n-1.at n=11A192721
- Carlitz compositions of n into odd parts.at n=29A218694
- Irregular triangle read by rows: T(n,k) is the number of identity trees with n nodes and maximal branching factor k.at n=58A244523
- Number of identity trees with n nodes where the maximal outdegree (branching factor) equals 2.at n=12A245747
- Numbers n such that the smallest prime divisor of n^2+1 is 73.at n=38A248550
- Numbers n such that the decimal digits of n-phi(n) are a permutation of those of n.at n=19A273799
- Numbers k such that 3*10^k - 49 is prime.at n=20A274037
- Triangle read by rows, (Sum_{k=0..n} T[n,k]*x^k) / (1-x)^(n+1) are generating functions of the columns of A287316.at n=19A287315
- Partial sums of the Dedekind psi_2(k) function, for 1 <= k <= n.at n=26A321973
- Even semiprimes such that the next semiprime is also even.at n=41A328036
- Squarefree semiprimes (products of two distinct primes) between sphenic numbers (products of three distinct primes).at n=17A362507
- Numbers that can be written in exactly two different ways as s_1^x_1 + ... + s_t^x_t, with 1 < s_1 < ... < s_t and {s_1,..., s_t} = {x_1,..., x_t} for some t > 0.at n=12A386966