5607
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 3753
- 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
- 3168
- Möbius Function
- 0
- Radical
- 1869
- 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
- 67
- 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-node unlabeled connected graphs with one cycle of length 3.at n=10A000226
- Generalized sum of divisors function.at n=49A002130
- Numbers n such that 69*2^n-1 is prime.at n=41A050560
- Number of primitive (aperiodic) reversible string structures with n beads using a maximum of four different colors.at n=8A056333
- Triangle read by rows: T(n,k) = number of connected graphs with one cycle of length m = n - k + 1 and n nodes (n >= 3 and 1 <= k <= n - 2).at n=65A058879
- a(n) = (1/6)*n^5 - (19/8)*n^4 + (51/4)*n^3 - (253/8)*n^2 + (445/12)*n - 14.at n=10A059999
- Numbers k that divide 2^(k+3) - 1.at n=31A069927
- Convolution of triangular numbers with partition numbers.at n=13A086716
- Smallest k such that both k-n and k+n are primes and there are no primes between them.at n=16A087378
- Diagonal sums of number triangle A107027.at n=14A107029
- Numbers k such that k divides A109227(k); or k such that A109227(k) is a Niven number.at n=5A109228
- G.f.: (x - 1)/(x^5 - x^3 - x^2 - x - 1).at n=58A115412
- Number of ways, counted up to symmetry, to build a contiguous building with n LEGO blocks of size 1 X 3 which is flat, i.e., with all blocks in parallel position.at n=5A123772
- Numbers k such that there is a number m < k satisfying A000203(k) = A000203(m) = m + k - gcd(m,k).at n=16A124141
- Number of base 27 circular n-digit numbers with adjacent digits differing by 9 or less.at n=3A125484
- a(1)=1; a(n+1) = Sum_{k=0..a(n) mod n} a(n-k).at n=15A130618
- Numbers k such that 2^(2*k - 1) - 1 is prime.at n=21A138576
- Row sums of a Collatz triangle.at n=43A138847
- 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, 1), (-1, 0, 1), (0, 1, -1), (1, -1, 0), (1, 0, 1)}.at n=8A148942
- G.f. is the polynomial (1-x^3) * (1-x^6) * (1-x^9) * (1-x^12) * (1-x^15) * (1-x^18) * (1-x^21) * (1-x^24) / (1-x)^8.at n=8A162596