14415
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 23832
- Proper Divisor Sum (Aliquot Sum)
- 9417
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7440
- Möbius Function
- 0
- Radical
- 465
- Omega Function (Ω)
- 4
- 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
- 71
- 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) = n*(n+1)^2/2.at n=30A006002
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 16.at n=14A031694
- Number of partitions satisfying cn(2,5) + cn(3,5) <= cn(1,5) and cn(2,5) + cn(3,5) <= cn(4,5).at n=44A039877
- Least k for which the integers Floor(k/m^2) for m=1,2,...,n are distinct.at n=34A054062
- a(n) = 15*n^2.at n=31A064761
- a(n) = n*(2*n+1)^2.at n=15A084367
- Numbers k such that (k / sum of digits of k) and (k+1 / sum of digits of k+1) are both semiprime.at n=26A085774
- Group the natural numbers such that the n-th group sum is divisible by the n-th triangular number: (1), (2, 3, 4), (5, 6, 7), (8, 9, 10, 11, 12), (13, 14, 15, 16, 17), (18, 19, 20, 21, 22, 23, 24), ... Sequence contains the group sum.at n=29A086500
- a(n) = (p^3 - p^2)/2, where p = prime(n).at n=10A138416
- General q-Narayana triangle sequence: T(n, k) = Product_{j=0..1} (q-binomial(n+j, j+k, 2)/q-binomial(n-k+j, j, 2)).at n=17A156916
- General q-Narayana triangle sequence: T(n, k) = Product_{j=0..1} (q-binomial(n+j, j+k, 2)/q-binomial(n-k+j, j, 2)).at n=18A156916
- General q-Narayana triangle sequence: T(n, k) = Product_{j=0..2} ( q_binomial(n+j, j+k, 2)/q_binomial(n+j-k, j, 2) ).at n=12A156939
- a(n) = 225*n^2 + 15.at n=8A158557
- Number of binary strings of length n with no substrings equal to 0001 0010 or 0100.at n=13A164445
- Period of decimal representation of 1/n^3.at n=30A176921
- Number of arrangements of n indistinguishable balls in n boxes with the maximum number of balls in any box equal to n-2.at n=28A180292
- Maximum value of k^2 * (n-k).at n=46A190798
- E.g.f. satisfies: A(x) = exp(-1)*Sum_{n>=0} (1 + x*A(x))^(n^2)/n!.at n=4A192666
- Odd indices n for which A046825(n) is not larger than A046825(n-1).at n=42A214453
- Odd numbers of the form (m*k)^2/(m^2-k^2) for distinct integers m and k.at n=14A259288