7456
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
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 14742
- Proper Divisor Sum (Aliquot Sum)
- 7286
- 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
- 3712
- Möbius Function
- 0
- Radical
- 466
- Omega Function (Ω)
- 6
- 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
- 88
- 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
- Number of n-node trees with a forbidden limb of length 6.at n=15A002992
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite RON = Roggianite Ca16[Be8Al16Si32O104(OH)16].19H2O starting with a T2 atom.at n=14A019214
- Fibonacci sequence beginning 0, 32.at n=13A022366
- a(n) = A024955(n+3)/7.at n=10A024956
- Number of partitions of n into an odd number of parts.at n=35A027193
- Composite numbers k, not a power of 2, such that the E(k) == 1 (mod k), where E(k) is the k-th Euler number (A000364).at n=25A035163
- Number of cycle types of conjugacy classes of all even permutations of n elements.at n=35A046682
- Smallest possible sum of n positive integers g(1) < g(2) < ... < g(n) such that A001222(g(i)+g(j)) = A001222(g(i)) + A001222(g(j)) for all 1<=i<j<=n.at n=9A059393
- a(n) = 6*n^2 + 3*n + 1.at n=35A085473
- a(n) = floor(10^n/7^n).at n=25A094992
- Triangular matrix T, read by rows, that satisfies: [T^-1](n,k) = -(k+1)*T(n-1,k) when (n-1)>=k>=0, with T(n,n) = 1 and T(n+1,n) = (n+1) for n>=0.at n=31A106208
- Numbers k for which 16*k+1, 16*k+3 and 16*k+15 are primes.at n=31A123997
- The number of odd partitions of consecutive odd integers.at n=17A160786
- Number of 3-step one or two space at a time rook's tours on an n X n board summed over all starting positions.at n=12A187288
- Number of n X 3 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=15A207106
- G.f.: Sum_{n>=0} x^n * Product_{k=1..n} (1 + n*k*x) / (1 + x + n*k*x^2).at n=8A208236
- Number of (w,x,y,z) with all terms in {1,...,n} and median=mean.at n=16A212133
- 6^n mod 10000.at n=15A216128
- Number of overcubic partitions of n.at n=15A246584
- Zeroth trisection of A246584.at n=5A246585