5327
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6096
- Proper Divisor Sum (Aliquot Sum)
- 769
- 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
- 4560
- Möbius Function
- 1
- Radical
- 5327
- 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
- 85
- 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
- a(n) = (n+1) a(n-1) + (-1)^n.at n=6A006347
- Coordination sequence for Ni2In, Position Ni1 and In.at n=22A009941
- [ exp(1/18)*n! ].at n=6A030883
- 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 71.at n=25A031569
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 3 (mod 4).at n=41A035551
- Numbers k such that p-k=p#-k#, where p=nextprime(k), k#=nextprime(square root of k), p#=nextprime(square root of p).at n=1A037210
- Numerators of continued fraction convergents to sqrt(213).at n=7A041396
- a(n) = prime(n)^2 - 2.at n=20A049001
- Numbers k such that k! is divisible by the square of (f+d)!^2 for d = 0, 1 and 2 (and possibly larger d), where f = floor(k/2).at n=23A056068
- Composite and every divisor (except 1) contains the digit 7.at n=24A062676
- a(n) = 4*n^2 + 4*n - 1.at n=35A073577
- Multiples of 7 using only prime digits (2, 3, 5 and 7).at n=32A077536
- Greatest squarefree number not exceeding n-th prime power which is not prime.at n=44A081218
- Number of distinct products i*j*k with 1 <= i < j <= k <= n and j < n.at n=44A083508
- G.f.: (1-x+2*x^2+2*x^3+2*x^4-x^5+x^6)/((1-x)*(1-x^2)^2*(1-x^3)).at n=39A083709
- Matrix inverse of triangle A096651; transforms n-dimensional partitions into (n-1)-dimensional partitions.at n=70A096874
- Structured disdyakis triacontahedral numbers (vertex structure 5).at n=6A100160
- 2*JacobiSymbol(p,5) mod p^2 for p=prime(n).at n=20A113651
- Records in A118514.at n=12A118515
- Expansion of 1/(1-x-2*x^2+2*x^3-2*x^4).at n=15A124281