10532
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 18438
- Proper Divisor Sum (Aliquot Sum)
- 7906
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5264
- Möbius Function
- 0
- Radical
- 5266
- 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
- 42
- 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
- [ (4th elementary symmetric function of S(n))/(2nd elementary symmetric of S(n)) ], where S(n) = {3,4, ..., n+5}.at n=22A024194
- Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(2,5) = cn(3,5) < cn(0,5).at n=12A036887
- Numbers whose maximal base-8 run length is 4.at n=31A037995
- Numbers having four 4's in base 8.at n=2A043440
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 97 ).at n=27A063370
- a(n) is the smallest positive d such that the n-th prime is the smallest prime p for which p+d is also prime.at n=27A101042
- A101042 sorted. There exists a prime p for which a(n) is the smallest positive d such that p is the smallest prime where p+d is also prime.at n=31A101043
- Even numbers k such that if a person is born in year k and lives not more than 100 years, then he never celebrates his prime birthday on a prime year.at n=7A124658
- Constant term of the reduction by x^2 -> x+1 of the polynomial p(n,x) defined at Comments.at n=16A192956
- G.f. satisfies: A(x) = exp( Sum_{n>=1} A(x^n)/(1-x)^n * x^n/n ).at n=9A199104
- Number of partitions of n such that (number of distinct parts) = m(1) - m(2), where m = multiplicity.at n=51A240055
- a(n) is the number of subsets of {1, 2, ..., n} with product of all entries <= n^2 + n.at n=48A298880
- a(n) = A330575(A025487(n)).at n=37A333962