14499
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 21780
- Proper Divisor Sum (Aliquot Sum)
- 7281
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9612
- Möbius Function
- 0
- Radical
- 537
- Omega Function (Ω)
- 5
- 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
- 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)^2 is a square whose decimal expansion digits occur with an exact frequency of 3.at n=5A052095
- Numbers k such that k^2 contains only digits {0,1,2}, not ending with zero.at n=10A058411
- Numbers k such that 3*10^k + 5*R_k - 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=12A102971
- Numbers k such that the average digit of k^2 is 1.at n=18A164771
- The sum of the costs of all nodes in the Fibonacci tree of order n.at n=14A178525
- Number of Sophie Germain primes less than 2^n.at n=20A211397
- The Wiener index of the meta-polyphenyl chain with n hexagons (see the Dou et al. and the Deng references).at n=8A216110
- G.f.: sqrt( (1-x - sqrt(1-14*x+x^2)) / (6*x*(1-14*x+x^2)) ).at n=4A245927
- Numbers k such that 2 is the largest decimal digit of k^2.at n=18A277959
- Rectangular array A(n, k) = (-1)^k*hypergeom([-k, k + n/2 - 1/2], [1], 4) with row n >= 0 and k >= 0, read by ascending antidiagonals.at n=40A300946
- Expansion of e.g.f. exp(sec(x)*exp(x) - 1).at n=7A305710
- G.f.: Sum_{n>=0} 2^n * x^n * (3^n + 2^n)^n / (2^n + 3^n*x)^(n+1) = Sum_{n>=0} a(n) * x^n / 2^(n^2).at n=3A306410
- Expansion of Product_{k>=1} (1 - x^k)^(2*k-1).at n=28A319669
- Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of sqrt(2 / ( (1-2*(k+4)*x+((k-4)*x)^2) * (1+(k-4)*x+sqrt(1-2*(k+4)*x+((k-4)*x)^2)) )).at n=32A337369
- Numbers whose square has digit sum 9 and no trailing zero.at n=37A384094
- Numbers other than {10^a + 10^b + 1} and {10^a + 5*10^b, min(a, b) = 0} whose square has digit sum 9 and no trailing zero.at n=15A384095
- Expansion of e.g.f. exp( -LambertW(-arcsinh(x)) ).at n=6A385425