7546
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
- 16
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 6854
- 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
- 2940
- Möbius Function
- 0
- Radical
- 154
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 39
- 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
- a(n) = Sum_{k=1..n-1} k^3*sigma(k)*sigma(n-k).at n=6A000499
- Number of series-reduced planted trees with n nodes.at n=19A001678
- Partition function coefficients for square lattice spin 3/2 Ising model.at n=33A010110
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=40A020403
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor((n+1)/2).at n=41A024305
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k=[ (n+1)/2 ], s = (natural numbers >= 2), t = (natural numbers >= 3).at n=40A024306
- a(n) = 2*(n+1) + 3*n + ... + (k+1)*(n+2-k), where k = floor(n/2).at n=40A024868
- (d(n)-r(n))/2, where d = A008778 and r is the periodic sequence with fundamental period (1,1,0,1).at n=41A026052
- Trajectory of 5 under map x->x + (x-with-digits-reversed).at n=9A033649
- Trajectory of 13 under map x->x + (x-with-digits-reversed).at n=6A033652
- Trajectory of 17 under map x->x + (x-with-digits-reversed).at n=5A033654
- Trajectory of 31 under map x->x + (x-with-digits-reversed).at n=6A033661
- Trajectory of 79 under map x->x + (x-with-digits-reversed).at n=4A033673
- Sums of 6 distinct powers of 3.at n=39A038468
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=45A043293
- a(n) = a(n-1)+a(m), where m=2n-2-2^(p+1) and 2^p<n-1<=2^(p+1), for n >= 4.at n=28A050071
- a(n) = binomial(n,4) + binomial(n,2).at n=21A055795
- a(0)=1; a(n) = Sum_{j<n, gcd(n,a(j)) = 1} a(j).at n=27A055935
- Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n.at n=51A057267
- Numbers n such that n | 10^n + 9^n + 1.at n=25A057295