5960
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13500
- Proper Divisor Sum (Aliquot Sum)
- 7540
- 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
- 2368
- Möbius Function
- 0
- Radical
- 1490
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 93
- 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 compositions of n into 4 ordered relatively prime parts.at n=31A000742
- a(n) = solution to the postage stamp problem with 3 denominations and n stamps.at n=44A001208
- Number of lines through exactly 6 points of an n X n grid of points.at n=44A018813
- a(n) = number of partitions of n into an odd number of parts, the least being 2; also a(n+2) = number of partitions of n into an even number of parts, each >=2.at n=46A027188
- Pair up the numbers.at n=29A030655
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 37.at n=34A031535
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=34A043079
- a(n) gives smallest number requiring n iterations of the map i -> A053392(i) to reach zero.at n=28A060630
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 93 ).at n=25A063366
- Numbers k such that sopf(k) = sopf(k+3), where sopf(k) = A008472(k).at n=10A063969
- Number of n-uniform tilings.at n=8A068599
- Partition the concatenation 1234567...of natural numbers into successive strings which are even, all different and > 2. (0 never taken as the most significant digit.)at n=36A077295
- (Number of primes == 3 mod 4 less than 10^n) - (number of primes == 1 mod 4 less than 10^n).at n=9A091295
- Continued fraction expansion of a constant x such that the n-th partial quotient equals a(n) = floor(2^n*x), with a(0)=1.at n=12A093053
- Number of binary words of length n that are not "bifix-free".at n=13A094536
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=30A098080
- Numbers k such that f(k), f(k+1) and f(k+2) are all primes, where f(k) = 8*k^2 + 4*k + 1.at n=28A103777
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and having k U=(1,2) steps among the steps leading to the first d step.at n=41A108441
- Triangular sequence from coefficients of characteristic polynomial of n X n prime element matrices: M=A.B.A^(-1); (A(3) is singular): examples; A(4)= {{2, 3, 5, 7, 11}, {3, 5, 7, 11, 13}, {5, 7, 11, 13, 17}, {7, 11, 13, 17, 19}, {11, 13, 17, 19, 23}} B(4)= {{3, 5, 7, 11, 13}, {5, 7, 11, 13, 17}, {7, 11, 13, 17, 19}, {11, 13, 17, 19, 23}, {13, 17, 19, 23, 29}}.at n=48A137405
- a(n+1)-+a(n)=prime, a(n+1)*a(n)=Average of twin prime pairs, a(1)=3,a(2)=10.at n=11A154496