14274
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 33852
- Proper Divisor Sum (Aliquot Sum)
- 19578
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- 0
- Radical
- 4758
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 50
- 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
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=43A003318
- a(n) = n*(n^3 - 1)/2.at n=11A027482
- Numbers k such that 159*2^k + 1 is prime.at n=30A032456
- Numbers of the form k*(k^3 +- 1)/2.at n=24A057590
- Ooguri-Vafa invariants of disk degeneracies for brane I or brane II in the O(K) -> P^2 geometry.at n=7A061630
- Numbers k such that (1/k) * Sum_{d|k} d*sigma(d) is an integer.at n=9A069520
- a(n) = (5*n+2)*(5*n+7).at n=23A085036
- Triangle T(n,k) read by rows; given by [0,1,0,1,0,1,0,1,...] DELTA [1,0,1,1,1,2,1,3,1,4,1,5,...], where DELTA is the operator defined in A084938.at n=60A085791
- Numbers k for which 8*k+1, 8*k+5, 8*k+7 and 8*k+11 are primes.at n=23A123983
- Number of nonisomorphic disconnected mappings (or mapping patterns) from n points to themselves; number of disconnected endofunctions.at n=10A127912
- a(n) = (prime(n)^4 - prime(n))/2.at n=5A138417
- Number of binary strings of length n with no substrings equal to 0000 0011 or 0101.at n=17A164426
- a(n) = (n+6)*(n+1)*(n^2 + 7*n + 16)/4.at n=13A168538
- Partial sums of A045699.at n=38A178494
- Number of partitions of n into terms of (1,2)-Ulam sequence, cf. A002858.at n=48A199016
- Number of nX2 0..3 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=9A201229
- Numbers m such that the numerator of Sum_{k=1..m, gcd(k,m) = 1} 1/k is divisible by m^3.at n=37A290815
- Numbers m such that the numerator of Sum_{k=1..m, gcd(k,m) = 1} 1/k^2 is divisible by m^2.at n=48A309696
- Dirichlet g.f.: Product_{k>=2} 1 / (1 - k^(-s))^binomial(k+4,5).at n=14A344205