14504
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 32490
- Proper Divisor Sum (Aliquot Sum)
- 17986
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6048
- Möbius Function
- 0
- Radical
- 518
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 19
- 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
- The sequence M(n) in A022905.at n=30A022908
- Number of asymmetric (identity) trees with n nodes and 5 leaves.at n=15A055336
- Number of powerful numbers between 2^(n-1)+1 and 2^n.at n=29A062761
- Numbers divisible by twice the sum of the products of each of their digits, excluding even multiples of 10.at n=37A085446
- Even numbers n such that 37^2 (the square of the first irregular prime) divides the numerator of Bernoulli(n).at n=26A090789
- G.f. satisfies: A(x) = (1 + x*A(x)^2)/(1 - x^2).at n=9A143330
- Positions of hexagonal pyramidal numbers in the EKG sequence.at n=27A144080
- Number of permutations of floor(i*8/3), i=0..n-1, with all sums of two and three adjacent terms respectively unique.at n=7A147930
- G.f. satisfies: A(x) = exp( Sum_{n>=1} [A(x)^n + A(x)^-n]*x^n/n ).at n=9A171199
- Number of (w,x,y,z) with all terms in {1,...,n} and w > |x-y| + |y-z|.at n=14A212674
- Number of cyclotomic cosets of 9 mod 10^n.at n=30A220020
- Number of n step walks (each step +/- 1 starting from 0) which are never more than 6 or less than -6.at n=14A235701
- Sum of the lengths of the first descents in all bargraphs having semiperimeter n (n>=2). A descent is a maximal sequence of consecutive down steps.at n=9A276068
- Numbers k such that the average of squarefree kernels of all positive integers <= k is an integer.at n=10A303480
- Numbers with more than one Collatz tripling step whose odd Collatz trajectory does not contain primes.at n=20A319936
- Sum of the fourth largest parts of the partitions of n into 9 squarefree parts.at n=53A326529
- a(n) = Sum_{k=1..n} mu(gcd(n, k)) * lcm(n, k) / gcd(n, k).at n=34A332658
- Triangle read by rows: T(n,k) is the number of rooted ordered trees with node weights summing to n, where the root has weight 0, all internal nodes have weight 1, and leaf nodes have weights in {1,...,k}.at n=47A384685
- Numbers k whose binary expansion contains 2 adjacent 1's and A391571(k) = k.at n=30A391581