5254
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8208
- Proper Divisor Sum (Aliquot Sum)
- 2954
- 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
- 2520
- Möbius Function
- -1
- Radical
- 5254
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 28
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = (5*n+1)*(5*n+4).at n=14A001545
- Number of partitions of n into parts of sizes {a( )} is a(n).at n=47A007209
- Quadruples of different integers from [ 1,n ] with no common factors between pairs.at n=31A015623
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=34A020397
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A014306.at n=31A024477
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A014306.at n=30A025097
- Number of permutations which are the union of an increasing and a decreasing subsequence.at n=8A029759
- a(n) = floor(exp(1/24)*n!).at n=6A030806
- a(n) = (9*n^2 + 3*n + 2)/2.at n=34A038764
- Numbers having three 7's in base 9.at n=8A043483
- Partial sums of A045954.at n=48A045964
- a(n) = A048141(3*n+2).at n=46A051060
- Engel expansion of zeta(6)=sum(i>0,1/i^6).at n=4A067914
- a(n) = (p^2 - p + 2)/2 for p = prime(n); number of squares modulo p^2.at n=26A072205
- Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=5/4.at n=30A080198
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=18A092230
- Least m such that both p|m and p+2|m+2 for twin prime pairs (p,p+2) (p=A001359).at n=7A097972
- Number of partitions of n such that multiplicities of parts are all relatively prime to n.at n=32A100495
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 11 multiples of n-1, n-2, ..., 1, for n>=1.at n=31A113748
- Sum of the even parts in all partitions of n into distinct parts.at n=31A116684