5877
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8502
- Proper Divisor Sum (Aliquot Sum)
- 2625
- 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
- 3912
- Möbius Function
- 0
- Radical
- 1959
- Omega Function (Ω)
- 3
- 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
- 49
- 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
- no
- Odd
- yes
Appears in sequences
- Number of n-covers of an unlabeled 3-set.at n=10A005745
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=18A020419
- Numbers k such that Fib(k) == -34 (mod k).at n=36A023169
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=40A031802
- a(n)=T(n,n+3), array T as in A049735.at n=29A049743
- Periods associated with A040017.at n=57A051627
- Numbers k such that 3*2^k - 5 is prime.at n=32A057912
- Numerator of Sum_{k=0..n} (-1)^k/(3*k+1).at n=5A059457
- Least k such that decimal representation of k*n contains only digits 0 and 9.at n=16A096688
- Structured triakis icosahedral numbers (vertex structure 4).at n=8A100172
- Number of irregular primes less than e^n.at n=11A105457
- Numbers k such that k^4 contains a pandigital substring.at n=10A115934
- Number of permutations of length n which avoid the patterns 321, 2143, 3124; or avoid the patterns 132, 2314, 4312, etc.at n=26A116731
- Generalized Catalan numbers for triangle A119335.at n=10A119365
- Number of rooted planar n-trees whose number of leaves is equal to 2 modulo 3.at n=10A119367
- a(n) = 20 + floor( (1 + Sum_{j=1..n-1} a(j)) / 2 ).at n=14A120145
- Indices n such that A019328(n) = Phi(n,10) is prime, where Phi is a cyclotomic polynomial.at n=48A138940
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 0, 0), (1, 0, 1), (1, 1, -1)}.at n=8A148971
- Number of ways to partition a 2*n X 2 grid into 4 connected equal-area regions.at n=25A167238
- a(n) = 1 + 4*n*(1 + 2*n^2)/3.at n=13A171272