5408
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 11529
- Proper Divisor Sum (Aliquot Sum)
- 6121
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2496
- Möbius Function
- 0
- Radical
- 26
- Omega Function (Ω)
- 7
- 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
- 54
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T4 for Zeolite Code VNI.at n=45A009910
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=47A017852
- Expansion of Product_{m>=1} 1/(1 - m*q^m)^8.at n=5A022732
- Number of perfect matchings in graph C_{12} X P_{n}.at n=3A028483
- Expansion of (theta_3(z)*theta_3(4z)*theta_3(16z)+theta_2(z)*theta_2(4z)*theta_2(16z))^4.at n=53A028709
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 13 (most significant digit on left).at n=32A029458
- Expansion of g.f. (1 + x - 2*x^2 - x^3)/(1/2 - 2*x^2 + x^4).at n=14A030435
- 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 35.at n=30A031533
- Coordination sequence for lattice D*_52 (with edges defined by l_1 norm = 1).at n=2A035811
- Coordination sequence for diamond structure D^+_52. (Edges defined by l_1 norm = 1.)at n=2A035902
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=40A036333
- Numbers k such that |s(k) - k| = number of primes <= k, where s(k) is sigma(k) - k.at n=6A037175
- Positive numbers having the same set of digits in base 6 and base 8.at n=33A037435
- Numbers whose base-5 representation contains exactly three 1's and three 3's.at n=7A045247
- Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power.at n=42A052486
- a(n) = (2 + sqrt(2))^n + (2 - sqrt(2))^n.at n=7A056236
- a(n) = Sum_{k >= 0} 2^k * binomial(k+2,n-2*k).at n=15A061279
- Smallest member of triple of consecutive numbers each of which is the sum of two different nonzero squares.at n=28A064715
- Smallest member of three consecutive numbers each of which is the sum of two nonzero squares (not necessarily different).at n=33A064716
- Numbers k such that the numerator of Sum_{d|k} 1/d > 2k.at n=27A069057