7484
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 5620
- 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
- 3740
- Möbius Function
- 0
- Radical
- 3742
- 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
- 132
- 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
- n written in fractional base 10/7.at n=44A024662
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 56 ones.at n=9A031824
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=45A036808
- Numbers whose base-3 representation has exactly 9 runs.at n=25A043589
- Numbers n such that number of runs in the base 3 representation of n is congruent to 0 mod 9.at n=25A043806
- Numbers k such that number of runs in the base 3 representation of k is congruent to 9 mod 10.at n=25A043824
- Number of partitions of n with parts (with repetitions) forming a division lattice (i.e., closed under GCD and LCM).at n=57A051839
- Interprimes which are of the form s*prime, s=4.at n=31A075279
- Fifth diagonal (m=4) of triangle A084938; a(n) = A084938(n+4,n) = (n^4 + 18*n^3 + 131*n^2 + 426*n)/24.at n=16A090386
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=21A091332
- Arithmetic derivative of n-th partition number.at n=30A096371
- Floor of area of triangle with consecutive prime sides.at n=30A096377
- Triangle T(m,k) read by rows, where T(m,k) is the number of ways in which 1 <= k <= m positions can be picked in an m X m square array such that their adjacency graph consists of a single component. Two positions (s,t), (u,v) are considered as adjacent if max(abs(s-u), abs(t-v)) <= 1.at n=19A098485
- Start with 1 and repeatedly reverse the digits and add 46 to get the next term.at n=49A118091
- Number of fusenes with 22 hexagons, C_(2v) symmetry and containing n carbon atoms.at n=10A123288
- Numbers whose trajectory under the Esucarys map ends at the fixed point 247.at n=8A129133
- 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), (0, 1, 1), (1, -1, 0), (1, 1, 0)}.at n=7A150440
- Number of n X 3 binary arrays with all 1s connected, and all corners 1.at n=6A163047
- Number of n X 7 binary arrays with all 1's connected, and all corners 1.at n=2A163051
- Number of 3-noncrossing RNA structures over 2n vertices with no isolated vertices.at n=7A187254