5665
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 1823
- 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
- 4080
- Möbius Function
- -1
- Radical
- 5665
- 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
- 129
- 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
- From Apery continued fraction for zeta(3): zeta(3)=6/(5-1^6/(117-2^6/(535-3^6/(1463...)))).at n=5A006221
- Expansion of e.g.f.: exp(tan(x)+arcsin(x))=1+2*x+4/2!*x^2+11/3!*x^3+40/4!*x^4+177/5!*x^5...at n=7A012948
- sinh(tan(x)+arcsin(x))=2*x+11/3!*x^3+177/5!*x^5+5665/7!*x^7...at n=3A012953
- Number of triples (i,j,k) with 1 <= i < j < k <= n and gcd(i,j,k) = 1.at n=34A015616
- Pseudoprimes to base 56.at n=33A020184
- Strong pseudoprimes to base 56.at n=9A020282
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=32A020393
- 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+4)/m < s for some integer k.at n=24A024848
- Poincaré (or Molien) series for ring of Siegel modular forms of genus 3 (associated with full modular group Gamma_3).at n=41A027634
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 3).at n=44A035537
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 4).at n=40A035541
- Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=30A035998
- Palindromic Fibonacci-lucky numbers.at n=37A039674
- Numbers that are palindromic and divisible by 5.at n=19A043040
- Define polynomials Pn by P0 = 0, P1 = x, P2 = P1 + P0, P3 = P2 * P1, P4 = P3 + P2, etc. alternately adding or multiplying. For even n > 2k, then first k coefficients of Pn remain unchanged and their values are the first k terms of the sequence.at n=15A045761
- Largest palindromic substring in 3^n.at n=33A046261
- Palindromes with exactly 3 prime factors (counted with multiplicity).at n=39A046329
- Palindromes with exactly 3 distinct prime factors.at n=24A046393
- 1/2-Smith numbers.at n=34A050224
- a(n) = (11*n + 4)*C(n+3, 3)/4.at n=9A055268