4588
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8512
- Proper Divisor Sum (Aliquot Sum)
- 3924
- 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
- 2160
- Möbius Function
- 0
- Radical
- 2294
- Omega Function (Ω)
- 4
- 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
- 59
- 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
- Number of labeled projective plane trees (or "flat" trees) with n nodes.at n=12A006082
- Coordination sequence T3 for Zeolite Code LIO.at n=47A008131
- Long leg of more than one primitive Pythagorean triangle.at n=39A024410
- a(n) = A027113(n, 2n-5).at n=7A027123
- a(1) = 1; a(n) = sum of terms in the continued fraction for the square of the continued fraction [a(1); a(2), a(3), a(4),..., a(n-1)].at n=41A061143
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 69 ).at n=35A063342
- a(n) = n*(8*n^2 - 5)/3.at n=12A063523
- Smallest k such that the difference between the k-th triangular number and the following prime is equal to n.at n=45A075403
- Number of columns in the character table of the symmetric group S_n that have zero sum.at n=29A085642
- Maximal coefficient of the polynomial (1-x)*(1-x^2)*...*(1-x^n).at n=58A086376
- a(n) = largest integer m for which "the reduction lemma implies N(p,n;2) = p-n+1 for 2 <= n <= p <= m".at n=10A090803
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=16A092230
- Largest achievable determinant of a 3 X 3 matrix whose elements are 9 distinct nonnegative integers chosen from the range 0..n.at n=8A097401
- Number of permutations of length n which avoid the patterns 1234, 3421, 4312.at n=16A116756
- Numbers with composite sum of digits and prime sum of cubes of digits.at n=13A121642
- Column 2 of triangle A128545; a(n) is the coefficient of q^(2n+4) in the central q-binomial coefficient [2n+4,n+2].at n=13A128552
- Sequence by greedy construction satisfying Lucier-Sárközy difference set condition.at n=39A174911
- Number of steps to compute the n-th prime in PRIMEGAME using Kilminster's Fractran program with only nine fractions.at n=6A183133
- Number of two-sided n-step prudent walks ending on the top side or the right side of their boxes, avoiding two consecutive west steps and south steps.at n=9A190795
- Numbers such that sum of digits and sum of the square of digits are both a square.at n=37A197125