5672
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10650
- Proper Divisor Sum (Aliquot Sum)
- 4978
- 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
- 2832
- Möbius Function
- 0
- Radical
- 1418
- Omega Function (Ω)
- 4
- 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
- 36
- 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
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- a(n) = floor( tan(n)^2 ).at n=33A005657
- Nearest integer to tan(n)^2.at n=33A005671
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite WEI = Weinebeneite Ca4[Be12P8O32(OH)8].16H2O starting from a T1 atom.at n=12A019262
- Numbers k such that Fib(k) == 21 (mod k).at n=37A023179
- 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 37.at n=24A031535
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite GOO (Goosecreekite) starting with a T2 atom.at n=5A033194
- Ratio from A049102.at n=43A049106
- Number of distinct binary sequences of length k+n generated by a general (non-linear) binary feedback shift register of length k, for sufficiently large k.at n=8A049539
- a(n) = (9n^2 + 9n + 4)/2.at n=35A062123
- Number of ways writing 2^n as a sum of a prime and a nonprime.at n=16A062305
- a(n) = (p^2 - p + 2)/2 for p = prime(n); number of squares modulo p^2.at n=27A072205
- a(n) = F(n+2)*a(n-1) + F(n+1)*a(n-2), where F = A000045 (Fibonacci numbers), a(0)=1, a(1)=2.at n=5A096656
- Least positive integer that can be represented as the sum of a prime and a triangular number in exactly n ways.at n=38A101182
- Even numbers n such that n^2 is an arithmetic number.at n=23A107924
- Let A(0)=1, B(0)=0 and C(0)=0. Let B(n+1) = Sum_{k = 0..n} binomial(n,k)*A(k), C(n+1) = Sum_{k = 0..n} binomial(n,k)*B(k) and A(n+1) = Sum_{k = 0..n} binomial(n,k)*C(k). This entry gives the sequence A(n).at n=9A143815
- Number of 1's among the digits of all n-digit primes.at n=4A152273
- Numbers m such that all three values m^2 + 13^k, k = 1, 2, 3, are prime.at n=24A178639
- (A192533)/2.at n=11A192534
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209157; see the Formula section.at n=50A209154
- Number of (w,x,y,z) with all terms in {1,...,n} and w*x=3*y*z.at n=45A212020