10467
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15132
- Proper Divisor Sum (Aliquot Sum)
- 4665
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6972
- Möbius Function
- 0
- Radical
- 3489
- 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
- 29
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 1^2 + prime(1)^2 + prime(2)^2 + ... + prime(n)^2.at n=15A024525
- Expansion of Product_{k>=0} 1/(1 - x^(k+1))^A001156(k).at n=25A045842
- Bessel function |J_0(n)| is a monotonically decreasing positive sequence.at n=44A046962
- Numbers n such that A065863(n) = 1, i.e., prime(n) mod (n - Pi(n)) = 1.at n=20A072623
- Numbers n such that n and n+2 are of the form p^2*q where p and q are distinct primes.at n=36A074173
- Numbers n such that n, n+1, n+2 are all of the form p*q^2 for distinct primes p,q.at n=5A178032
- Number of vertices of type D at level n of the hyperbolic Pascal pyramid.at n=8A292293
- a(n) = A293857(n)/A010551(n).at n=19A293984
- Number of pairs (lambda,mu) of partitions lambda of n and mu of five with mu <= lambda (by diagram containment).at n=19A303855
- Sum of the largest parts of the partitions of n into 5 parts.at n=35A308827
- Lexicographically earliest sequence with a(n) odd digits among the first a(n+1) decimal digits, for any n; a(1) = 1, a(2) = 2.at n=30A332070
- Irregular table read by rows: Take a concave circular triangle with all diagonals drawn, as in A340685. Then T(n,k) = number of k-sided polygons in that figure for k >= 3.at n=57A340688
- Starts of runs of 3 consecutive numbers that have an equal number of even and odd exponents in their prime factorization (A187039).at n=8A348077
- Starts of runs of 3 consecutive numbers that have an equal number of unitary and nonunitary prime divisors (A348097).at n=16A348099
- Numbers k such that k and k+2 both have exactly 6 divisors.at n=38A356743
- Starts of runs of 3 consecutive integers that are divisible by the square of their least prime factor.at n=43A365865
- Starts of runs of 3 consecutive integers whose exponent of least prime factor in their prime factorization is even.at n=19A365871