10354
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 5774
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4980
- Möbius Function
- -1
- Radical
- 10354
- 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
- 55
- 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
- p(11p-7) where p is prime.at n=10A098998
- a(n) = (3^n +1)/2 + 2^n.at n=9A099754
- Number of pairwise non-isomorphic biconnected planar bipartite graphs on n vertices.at n=8A122113
- a(n) = sum of n successive primes after the n-th prime.at n=37A131740
- Zero followed by partial sums of A008865.at n=31A145067
- G.f.: x/exp( Sum_{n>=1} a(n)*x^n/n ) = Sum_{n>=1} moebius(n)*x^n.at n=16A195589
- Number of nondecreasing -n..n vectors of length 3 whose dot product with some other -n..n vector equals 3.at n=19A226342
- Least positive integer k with p(prime(k))+p(prime(k*n)) prime, where p(.) is the partition function given by A000041.at n=43A261513
- Main diagonal of A332359.at n=13A332360
- Numbers k where the d(j)-th digit is j for d(j) and j > 0 and d(j) = 0 if and only if j is not a digit of k.at n=52A348056
- Expansion of Sum_{k>0} (1/(1 - k*x^k)^4 - 1).at n=11A363640
- a(n) = 25*n^2/2 - 11*n/2 + 1.at n=29A383465