14773
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 2507
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12480
- Möbius Function
- -1
- Radical
- 14773
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 71
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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) = Sum_{d|n} sigma(n/d)*d^3.at n=21A027847
- Sums of distinct powers of 11.at n=22A033047
- Sums of 3 distinct powers of 11.at n=6A038491
- Number of primes <= 11^n.at n=5A058247
- Number of ordered triples (a, b, c) with gcd(a, b, c) = 1 and 1 <= {a, b, c} <= n.at n=25A071778
- a(n) = 29 + 73*n + 37*n^2.at n=19A145980
- Wiener index of a benzenoid consisting of a double-step spiral chain of n hexagons (n>=2, s=21; see the Gutman et al. reference).at n=12A193397
- Numbers k such that sigma(k+5) - sigma(k) = k + 5.at n=1A246855
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 838", based on the 5-celled von Neumann neighborhood.at n=40A273681
- G.f.: 1 = ...(((1/(1-x) - a(1)*0!*x )^2 - a(2)*1!*x^2 )^3 - a(3)*2!*x^3 )^4 - a(4)*3!*x^4 )^5 -..., an infinite series of nested powers.at n=10A274964
- Bases b where exactly eight primes p with p < b exist such that p is a base-b Wieferich prime.at n=7A325884
- Number of integer partitions of n where the parts have greater mean than the distinct parts.at n=53A360250
- Products of three distinct strong primes.at n=8A363782
- Expansion of g.f. A(x) satisfying A(x) = A( x^2*(1+x)^5 ) / (x*(1+x)^4).at n=10A369548