5539
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 221
- 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
- 5320
- Möbius Function
- 1
- Radical
- 5539
- 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
- 67
- Smith Number
- yes
- 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
- Numbers k such that sigma(k) = sigma(k+10).at n=15A015880
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=19A020401
- a(n) = position of n^3 + 9 in A003072.at n=36A024971
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 27 ones.at n=0A031795
- Discriminants of imaginary quadratic fields with class number 18 (negated).at n=38A046015
- Number of forests of B-trees of order 3 with n labeled leaves.at n=21A058518
- McKay-Thompson series of class 18b for the Monster group.at n=16A058537
- Composite numbers whose divisors (except 1) all contain the digit 9.at n=4A062680
- Partial sums of A081660.at n=12A081661
- Least integer such that x^(n+1)/(ceiling(x^n) + a(n)) monotonically decreases to 1, where x=2.30553839092543...at n=10A084798
- a(n) = ceiling(((1*n^0 + 1*n^1 + 2*n^2 + 4*n^3)/(1*n^0 + 2*n^1 + 1*n^2))^2).at n=19A085505
- Triangle read by rows: T(n,k) is number of Dyck paths of semilength n and having k UDUD's (here U=(1,1), D=(1,-1)).at n=47A094507
- Reversible Smith numbers, i.e., Smith numbers whose reversal is also a Smith number.at n=41A104171
- Maximal number of squares of side 1 in an ellipse of semiaxes n,2n.at n=29A108126
- Numbers n such that "n 42's followed by 43" is prime.at n=13A110705
- Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 6 multiples of n-1, n-2, ..., 1.at n=44A113743
- Numbers k such that 2^k, 3^k, 5^k, 7^k, 11^k, 13^k, 17^k and 19^k have even digit sum.at n=22A119897
- a(1)=2. For n >=2, a(n) = p(n) *(floor(a(n-1)/p(n)) +2), where p(n) is the n-th prime.at n=42A138621
- Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0010-1010-1111 pattern in any orientation.at n=15A146779
- Expansion of Product_{k > 0} (1 + f(k)*x^k), where f(k) = A147952(A004001(k)).at n=32A147982