1473
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1968
- Proper Divisor Sum (Aliquot Sum)
- 495
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 980
- Möbius Function
- 1
- Radical
- 1473
- Omega Function (Ω)
- 2
- 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
- 96
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of labeled projective plane trees (or "flat" trees) with n nodes.at n=11A006082
- Number of strict 5th-order maximal independent sets in path graph.at n=41A007385
- Coordination sequence T2 for Zeolite Code SGT.at n=24A008230
- Numbers k such that the continued fraction for sqrt(k) has period 28.at n=21A020367
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 1 and a(1) = 8.at n=12A022322
- Index of 5^n within sequence of numbers of form 3^i*5^j.at n=44A022338
- Vertex-transitive graphs of valency 9 with 2n nodes.at n=7A023644
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=17A023867
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=16A024599
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+2)/m < s for some integer k.at n=16A024842
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A001950 (upper Wythoff sequence).at n=16A024864
- E.g.f: exp(x/(1-2*x))/(1-2*x).at n=4A025167
- Index of 7^n within the sequence of the numbers of the form 3^i*7^j.at n=40A025721
- a(n) = sum of the numbers between the two n's in A026342.at n=39A026345
- a(n) = Sum_{k divides 2^n} S(k), where S is the Kempner function A002034.at n=51A029715
- Twin lucky numbers (upper terms).at n=44A031159
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 24.at n=16A031522
- Lucky numbers with size of gaps equal to 12 (lower terms).at n=17A031894
- Numbers with exactly five distinct base-6 digits.at n=17A031983
- Lucky numbers ending with digit 3.at n=41A032586