6495
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 3921
- 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
- 3456
- Möbius Function
- -1
- Radical
- 6495
- 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
- 49
- 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
- no
- Odd
- yes
Appears in sequences
- Number of P-graphs with 2n edges.at n=6A007164
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = (primes).at n=21A025117
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=44A026036
- a(n) = T(n,1) + T(n-1,2) + ...+ T(n-k+1,k), where k = floor((n+1)/2) and T is the array defined in A026098.at n=31A026103
- Number of distinct products i*j with 0 <= i, j <= n-th prime.at n=35A027419
- 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 25.at n=33A031523
- Number of nondividing sets on {1,2,...,n}.at n=32A051014
- Prime(a(n)) + ... + prime(a(n)+3) is a square = A051395(n)^2.at n=16A072849
- Sum of numbers in n-th upward diagonal of triangle in A079823.at n=34A079824
- a(n) = (n^3 + 24*n^2 + 65*n + 36)/6.at n=27A087863
- Largest member z of a triple 0<x<y<z such that z^2-y^2, z^2-x^2 and y^2-x^2 are perfect squares.at n=37A111105
- Radical narcissistic numbers: numbers n that can be expressed using just the digits of n (each digit used once only and in order from left to right) and the operators + - * / ^ and the radical symbol, but which are not already 'Good' Friedman numbers (i.e., the radical is needed for the solution to exist). Concatenation is allowed.at n=11A119710
- Bisection of toothpick sequence A139250.at n=57A159791
- a(n) = Sum_{k=0..[n/2]} C(n-k,k)^3*n/(n-k), n>=1.at n=7A166897
- Sum of first k numbers in column k of the natural number array A000027; by antidiagonals.at n=17A185787
- Integers of the form 8k+7 that can be written as a sum of four distinct 'almost consecutive' squares.at n=38A243577
- Integers of the form 8k + 7 that can be written as a sum of four distinct squares of the form m, m + 1, m + 3, m + 5, where m == 2 (mod 4).at n=9A243580
- Number of length n+3 0..4 arrays with some disjoint pairs in every consecutive four terms having the same sum.at n=6A247529
- T(n,k)=Number of length n+3 0..k arrays with some disjoint pairs in every consecutive four terms having the same sum.at n=51A247533
- Number of length 7+3 0..n arrays with some disjoint pairs in every consecutive four terms having the same sum.at n=3A247539