10342
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 15516
- Proper Divisor Sum (Aliquot Sum)
- 5174
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5170
- Möbius Function
- 1
- Radical
- 10342
- 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
- 55
- 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
- Multiplicity of trivial character in V_n, where V = Sum V_n is the graded module for the Monster simple group.at n=37A014810
- Positive numbers k such that k and 4*k are anagrams in base 7 (written in base 7).at n=6A023070
- 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 100.at n=29A031598
- Positive numbers having the same set of digits in base 7 and base 10.at n=27A037440
- Triangle read by rows: T(n,k) = number of noncommutative symmetric polynomials of degree n that have exactly k different variables appearing in each monomial and which generate the algebra of all noncommutative symmetric polynomials (n >= 1, 1 <= k <= n).at n=62A055105
- Triangle T(n,k) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n.at n=51A055106
- Triangle T(k,n) giving number of symmetric polynomials of degree n in k noncommuting variables, n >=2, 2 <= k <= n.at n=48A055107
- McKay-Thompson series of class 18b for the Monster group.at n=18A058537
- 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=36A101042
- 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=30A101043
- d such that the smallest prime p for which p+d is also prime is larger than for any smaller d.at n=13A101046
- Largest number that is not the sum of five n-gonal numbers.at n=23A118367
- 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=6A124658
- A Moessner triangle using (1, 2, 1, 2, 1, 2, ...).at n=31A125751
- Where records occur in A082467.at n=28A129302
- Numbers whose base-10 and base-7 representations are permutations of the same multiset of digits.at n=19A130604
- Numbers n such that the sum of the Euler totient functions of integers up to n is a square.at n=8A130697
- Where records occur in A047160.at n=26A155765
- Numbers that are the sum of two reversed consecutive primes in more than one way.at n=30A162705
- Numbers whose digits are a permutation of (0,...,m) for some m.at n=27A199168