7263
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10800
- Proper Divisor Sum (Aliquot Sum)
- 3537
- 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
- 4824
- Möbius Function
- 0
- Radical
- 807
- Omega Function (Ω)
- 4
- 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
- 101
- 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 partitions in parts not of the form 19k, 19k+3 or 19k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=35A035972
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(0,5) + cn(2,5) + cn(3,5).at n=34A039866
- Odd integers that do not generate monotonically decreasing infinitary aliquot sequences.at n=18A127667
- Number of length n binary sequences with at most 3 of every 6 adjacent bits set.at n=15A133551
- a(n) = n^3 - (3*(n+3))^2.at n=24A153259
- Exactly 10 consecutive odd integers starting with n are composite.at n=37A162023
- Numbers n such that 6n -/+ 1 are twin prime pair and n = r + s where 6r -/+ 1 and 6s -/ 1 are consecutive smaller pairs of twin primes.at n=46A226652
- Expansion of Product_{k>=1} ((1+x^(3*k-1))*(1+x^(3*k-2)))^k.at n=34A262884
- Partial sums of A019565.at n=37A288570
- Number of partitions of n into 10 prime powers (including 1).at n=48A341131
- Numbers k which are the product of a cube greater than 1 and a prime, and where k-1 and k-2 are semiprimes.at n=21A350284
- a(n), read backwards, is present as a substring in a(n) + a(n+1). This is the lexicographically earliest sequence of distinct terms > 0 with this property.at n=21A360947
- Expansion of (1/x) * Series_Reversion( x*(1-x)^4/(1+x)^2 ).at n=4A365840
- a(n) = Sum_{i=0..floor(q(n)/3)} binomial(n-3*(i+1), q(n)-3*i) with q(n) = ceiling((n-3)/2).at n=15A366107
- a(n) = Sum_{k=0..floor(n/3)} binomial(2*n-3*k-1,n-3*k).at n=8A371758
- Numbers k such that k and k+1 are both nonsquarefree exponentially odd numbers (A374459).at n=42A374461
- Expansion of 1 / ((1-x)^4 - x^7).at n=15A392545