2959
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
- 4
- Divisor Sum
- 3240
- Proper Divisor Sum (Aliquot Sum)
- 281
- 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
- 2680
- Möbius Function
- 1
- Radical
- 2959
- 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
- 97
- Smith Number
- no
- 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 that are the sum of 11 positive 7th powers.at n=18A003378
- Coordination sequence T6 for Zeolite Code MEL.at n=35A008155
- Numbers k such that the continued fraction for sqrt(k) has period 38.at n=28A020377
- Numbers k such that Fibonacci(k) == 89 (mod k).at n=37A023182
- dot_product(n,n-1,...2,1)*(6,7,...,n,1,2,3,4,5).at n=16A026063
- Number of compositions (ordered partitions) of n into distinct odd parts.at n=43A032021
- Number of partitions in parts not of the form 19k, 19k+3 or 19k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=30A035972
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) <= cn(1,5).at n=49A036846
- Denominators of continued fraction convergents to sqrt(190).at n=12A041353
- Numbers n such that string 5,9 occurs in the base 10 representation of n but not of n-1.at n=32A044391
- Numbers n such that string 5,9 occurs in the base 10 representation of n but not of n+1.at n=32A044772
- Numbers k such that string 9,5 occurs in the base 10 representation of k but not of k+1.at n=31A044808
- Concatenation of n in base 2 up to base 10 is prime, all numbers are interpreted as decimals.at n=30A054256
- Floor( product_{k = 1..n} k^(1/k) ).at n=54A061565
- Fourth column of A046741.at n=8A062124
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 67 ).at n=16A063340
- Semiprimes p1*p2 such that p2 > p1 and p2 mod p1 = 5.at n=25A064903
- Prefixing, suffixing or inserting a 9 in the number anywhere gives a prime.at n=22A069833
- Trajectory of n under the Reverse and Add! operation carried out in base 3 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=7A077405
- Coefficient of x^2 in the n-th Moebius polynomial (A074586), M(n,x), which satisfies M(n,-1)=mu(n) the Moebius function of n.at n=35A077598