5684
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 11970
- Proper Divisor Sum (Aliquot Sum)
- 6286
- 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
- 2352
- Möbius Function
- 0
- Radical
- 406
- Omega Function (Ω)
- 5
- 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
- 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
- Theta series of packing P_{10c}.at n=3A004021
- Number of paraffins.at n=27A005997
- (d(n)-r(n))/5, where d = A006527 and r is the periodic sequence with fundamental period (4,1,4,0,1).at n=42A026036
- Even numbers k such that in k^2 the parity of digits alternates.at n=43A030157
- Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1.at n=52A035937
- Triangle of up-down sums of k-th powers: a(n,k)=sum(i^k,i=1..n)+sum((n-i)^k,i=1..n-1), n,k>0.at n=41A051672
- Least k for which the integers floor(2k/(m*(m+1))) for m=1,2,...,n are distinct.at n=31A054064
- Triangle read by rows: T(n,c) = number of successive equalities in set partitions of n.at n=38A056857
- Triangle T(n,k) = number of element-subset partitions of {1..n} with n-k+1 equalities (n >= 1, 1 <= k <= n).at n=42A056860
- Engel expansion of Pi^2 = 9.8696...at n=24A059185
- Expansion of Product_{n>=1} (1+x^n)^prime(n).at n=12A061152
- Numbers k that divide phi(k)^2 + sigma(k)^2.at n=21A068484
- First differences of triangular numbers with square pyramidal indices.at n=6A077538
- Fourth column of (1,5)-Pascal triangle A096940.at n=27A096941
- a(n) = n^2*(2*n+1).at n=14A099721
- Numbers n such that 6*10^n + R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=7A103028
- a(1) = a(2) = a(3) = a(4) = a(5) = 1 and for n>5: a(n) = a(n-4) + a(n-5).at n=58A103372
- a(n) = C(n,2)*Bell(n-2) (cf. A000217, A000110).at n=8A105479
- Difference between the product of two consecutive primes and the next prime.at n=20A111071
- Each term is previous term plus floor of harmonic mean of two previous terms.at n=16A114831