9596
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 7204
- 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
- 4796
- Möbius Function
- 0
- Radical
- 4798
- Omega Function (Ω)
- 3
- 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
- 73
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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) = least 2k such that p is the least prime in a Goldbach partition of 2k, where p = prime(n).at n=36A025017
- (Sum(m^(p-1),m=1..p-1)+1)/p as p runs through the primes.at n=3A055030
- Numerator of (Sum(m^(n-1),m=1..n-1)+1)/n.at n=6A055031
- Duplicate of A055030.at n=3A071871
- Partition the concatenation 1234567...of natural numbers into successive strings which are even, all different and > 2. (0 never taken as the most significant digit.)at n=60A077295
- Numbers k such that 10^k + 13 is prime.at n=16A095688
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=48A098080
- Numbers k such that the k-th triangular number contains only digits {0,4,6}.at n=7A119074
- Concatenation of first two digits and last two digits of n-th even superperfect number A061652(n).at n=18A138869
- G.f.: 1/p(x), where p(x) = degree 22 Salem polynomial p(x) = x^22 + x^21 - x^19 - 2*x^18 - 3*x^17 - 3*x^16 - 2*x^15 + 2*x^13 + 4*x^12 + 5*x^11 + 4*x^10 + 2*x^9 - 2*x^7 - 3*x^6 - 3*x^5 - 2*x^4 - x^3 + x + 1.at n=34A143419
- Number of nondecreasing integer sequences of length 7 with sum zero and sum of absolute values 2n.at n=19A158141
- L.g.f.: G(x) = x*exp( Sum_{n>=1} G(G(x)^n)/n ) where G(x) = x*exp(Sum_{n>=1} a(n)*x^n/n).at n=5A179326
- n^2 + {1,3,7} are primes.at n=28A182238
- Number of 10-element subsets of {1, 2, ..., n} having pairwise coprime elements.at n=15A186986
- Number of 4-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions.at n=22A187509
- Number of (n+1) X (n+1) -10..10 symmetric matrices with every 2 X 2 subblock having sum zero and two distinct values.at n=13A211813
- Number of nX5 0..3 arrays with exactly floor(nX5/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order.at n=4A222519
- T(n,k)=Number of nXk 0..3 arrays with exactly floor(nXk/2) elements unequal to at least one king-move neighbor, with new values introduced in row major 0..3 order.at n=40A222522
- Expansion of b(2)*b(4)*b(6)/(x^8-x^4-x+1), where b(k) = (1-x^k)/(1-x).at n=25A265055
- Number of cyclic binary sequences of length n containing no abelian 4th powers.at n=33A305594