7618
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12348
- Proper Divisor Sum (Aliquot Sum)
- 4730
- 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
- 3504
- Möbius Function
- -1
- Radical
- 7618
- Omega Function (Ω)
- 3
- 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
- 176
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=30A020362
- Expansion of (1+x*C^4)*C^2, where C = (1-(1-4*x)^(1/2))/(2*x) is g.f. for Catalan numbers, A000108.at n=7A032952
- Number of partitions in parts not of the form 23k, 23k+3 or 23k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=35A035991
- Sums of 6 distinct powers of 3.at n=43A038468
- Denominators of continued fraction convergents to sqrt(508).at n=9A041971
- When cubed gives number composed just of the digits 0, 1, 2, 3, 4.at n=20A048792
- a(n) = Sum_{k=1..n} floor(n^2/k).at n=42A118014
- Numbers k such that k and k^2 together contain all ten digits.at n=18A122477
- Number of base 26 n-digit numbers with adjacent digits differing by three or less.at n=4A126494
- Number of binary strings of length n with no substrings equal to 0001 0111 or 1010.at n=18A164483
- Positions of zeros in A165582.at n=31A165583
- Triangle read by rows: T(n,k) is the number of partitions of the set {1,2,...,n} having exactly k blocks that do not consist of consecutive integers (0<=k<=floor(n/2); a singleton is considered a block of consecutive integers).at n=31A177256
- a(n) = n*(3*n^2 + 6*n + 1).at n=13A196507
- Number of ways prime(n) can be expressed as the sum of distinct smaller noncomposites.at n=43A215966
- a(n) is the number of terms in the expansion of (x-y)(x^3-y^3)*(x^6-y^6)*(x^10-y^10)*...*(x^T_i-y^T_i), where T_i is the i-th triangular number.at n=34A222028
- G.f.: 1/G(0) where G(k) = 1 + (-q)^(k+1) / (1 - (-q)^(k+1)/G(k+1) ).at n=54A227310
- Number of n X 2 0..2 arrays with every 0 next to a 1 and every 1 next to a 2 horizontally or vertically, with no adjacent values equal.at n=10A232059
- Number of partitions p of n such that (number of even numbers in p) <= 2*(number of odd numbers in p).at n=32A241642
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 179", based on the 5-celled von Neumann neighborhood.at n=21A270624
- Numbers k such that k!6 + 9 is prime, where k!6 is the sextuple factorial number (A085158 ).at n=25A288154