14788
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 25886
- Proper Divisor Sum (Aliquot Sum)
- 11098
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7392
- Möbius Function
- 0
- Radical
- 7394
- 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
- 40
- 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
- Convolution of (1, p(1), p(2), ...) and (F(2), F(3), F(4), ...).at n=15A023628
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 70 ones.at n=23A031838
- Numbers whose base-11 representation has exactly 5 runs.at n=13A043648
- Molien series for complete weight enumerators of self-dual codes over GF(9).at n=12A092071
- Numbers n such that 9^n + 3^(n+1) - 1 is prime.at n=21A214700
- Number of 2Xn 0..2 arrays with no more than floor(2Xn/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..2 order.at n=9A222574
- Number of binary sequences of length n that contain at least one contiguous subsequence 011.at n=14A232580
- Number of nX2 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it, modulo 4.at n=5A239643
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.at n=26A239649
- Number of 6Xn 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4.at n=1A239654
- Number of partitions p of n such that median(p) = multiplicity(min(p)).at n=50A240214
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 323", based on the 5-celled von Neumann neighborhood.at n=28A271255
- a(n) = Sum_{p in P} (H(2,p)^2)/2, where P is the set of partitions of n, and H(2,p) is the number of hooks of length 2 in p.at n=26A302348
- Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3 or 8 king-move adjacent elements, with upper left element zero.at n=9A305226
- Expansion of 1/(1 - x*(1 + x)/(1 - x^2*(1 + x^2)/(1 - x^3*(1 + x^3)/(1 - x^4*(1 + x^4)/(1 - ...))))), a continued fraction.at n=14A308745
- Number of partitions of n into an even number of parts that are not multiples of 4.at n=46A339406
- Numbers that are the sum of eight fourth powers in seven or more ways.at n=25A345582
- Numbers that are the sum of eight fourth powers in eight or more ways.at n=2A345583
- Numbers that are the sum of eight fourth powers in exactly eight ways.at n=2A345840