7893
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11414
- Proper Divisor Sum (Aliquot Sum)
- 3521
- 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
- 5256
- Möbius Function
- 0
- Radical
- 2631
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- 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
- Numbers k such that 215*2^k+1 is prime.at n=7A032484
- Number of different ways to divide an n X n square into sub-squares, considering only the list of parts.at n=12A034295
- Decimal part of a(n)^(1/3) starts with reversal of its integer part: first term of runs.at n=17A034309
- Numbers whose base-5 representation contains exactly two 2's and three 3's.at n=30A045273
- a(1) = 1, a(n+1) is the sum of a(n) and floor( arithmetic mean of a(1) ... a(n) ).at n=35A065094
- Binomial transform of 1,0,1,0,1,1,1,...at n=13A084635
- Iccanobirt prime indices (11 of 15): Indices of prime numbers in A102121.at n=14A102141
- Monthly Problem 10791, first expression.at n=7A121869
- Numbers n such that prime[(n + 1)^2] - prime[n^2] is a perfect square.at n=16A145290
- 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, 0), (1, 0, 0), (1, 0, 1), (1, 1, -1)}.at n=7A150444
- Table with T(n,k) the number of word structures of length n which can be decomposed into k palindromes but not fewer.at n=53A188792
- Triangle read by rows: row sums, right and left borders are the Bell sequence, or a shifted variant. See Comments for precise definition.at n=52A212431
- Sum of the largest parts in the partitions of 3n into 3 parts.at n=17A236370
- Indices of primes in the 11th-order Fibonacci number sequence, A127624.at n=26A257966
- Sum_{i=1..n} Sum_{j=1..n} (i OR j), where OR is the binary logical OR operator.at n=21A258438
- Coordination sequence for (2,4,7) tiling of hyperbolic plane.at n=23A265062
- Main diagonal of arrays A265901 and A265903.at n=8A265900
- Number of amicable pairs with lesser member at most 2^n.at n=39A290985
- Number of Hamiltonian paths in the graph on n vertices {1,...,n}, with i adjacent to j iff |i-j| in {1,3}.at n=19A302119
- Number of possible states when placing n tokens of 2 alternating types on 3 piles.at n=10A320731